Uniform 8-polytope

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Graphs of three regular and related uniform polytopes.
8-simplex t0.svg
8-simplex
8-simplex t1.svg
Rectified 8-simplex
8-simplex t01.svg
Truncated 8-simplex
8-simplex t02.svg
Cantellated 8-simplex
8-simplex t03.svg
Runcinated 8-simplex
8-simplex t04.svg
Stericated 8-simplex
8-simplex t05.svg
Pentellated 8-simplex
8-simplex t06.svg
Hexicated 8-simplex
8-simplex t07.svg
Heptellated 8-simplex
8-cube t7.svg
8-orthoplex
8-cube t6.svg
Rectified 8-orthoplex
8-cube t67.svg
Truncated 8-orthoplex
8-cube t57.svg
Cantellated 8-orthoplex
8-cube t47.svg
Runcinated 8-orthoplex
8-cube t17.svg
Hexicated 8-orthoplex
8-cube t02.svg
Cantellated 8-cube
8-cube t03.svg
Runcinated 8-cube
8-cube t04.svg
Stericated 8-cube
8-cube t05.svg
Pentellated 8-cube
8-cube t06.svg
Hexicated 8-cube
8-cube t07.svg
Heptellated 8-cube
8-cube t0.svg
8-cube
8-cube t1.svg
Rectified 8-cube
8-cube t01.svg
Truncated 8-cube
8-demicube t0 D7.svg
8-demicube
8-demicube t01 D7.svg
Truncated 8-demicube
8-demicube t02 D7.svg
Cantellated 8-demicube
8-demicube t03 D7.svg
Runcinated 8-demicube
8-demicube t04 D7.svg
Stericated 8-demicube
8-demicube t05 D7.svg
Pentellated 8-demicube
8-demicube t06 D7.svg
Hexicated 8-demicube
Gosset 4 21 polytope petrie.svg
421
Gosset 1 42 polytope petrie.svg
142
2 41 polytope petrie.svg
241

In eight-dimensional geometry, a polyzetton[1] (or 8-polytope) is a polytope contained by 7-polytope facets. Each 6-polytope ridge being shared by exactly two 7-polytope facets.

A uniform polyzetton is one which is vertex-transitive, and constructed from uniform (7-polytope) facets.

Regular 8-polytopes[edit]

Regular polyzetta can be represented by the Schläfli symbol {p,q,r,s,t,u,v}, with v {p,q,r,s,t,u} 7-polytope facets around each peak.

There are exactly three such convex regular 8-polytopes:

  1. {3,3,3,3,3,3,3} - 8-simplex
  2. {4,3,3,3,3,3,3} - 8-cube
  3. {3,3,3,3,3,3,4} - 8-orthoplex

There are no nonconvex regular 8-polytopes.

Euler characteristic[edit]

The Euler characteristic for 8-polytopes that are topological 7-spheres (including all convex 8-polytopes) is zero. χ=V-E+F-C+f4-f5+f6-f7=0.

Uniform 8-polytopes by fundamental Coxeter groups[edit]

Uniform 8-polytopes with reflective symmetry can be generated by these four Coxeter groups, represented by permutations of rings of the Coxeter-Dynkin diagrams:

# Coxeter group Coxeter-Dynkin diagram Forms
1 A8 [37] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png 135
2 BC8 [4,36] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png 255
3 D8 [35,1,1] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png 191 (64 unique)
4 E8 [34,2,1] CDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel branch.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.png 255

Selected regular and uniform 8-polytopes from each family include:

  1. Simplex family: A8 [37] - CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
    • 135 uniform 8-polytopes as permutations of rings in the group diagram, including one regular:
      1. {37} - 8-simplex or ennea-9-tope or enneazetton - CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
  2. Hypercube/orthoplex family: B8 [4,36] - CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
    • 255 uniform 8-polytopes as permutations of rings in the group diagram, including two regular ones:
      1. {4,36} - 8-cube or octeract- CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
      2. {36,4} - 8-orthoplex or octacross - CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.png
  3. Demihypercube D8 family: [35,1,1] - CDel nodea.pngCDel 3a.pngCDel branch.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.png
    • 191 uniform 8-polytopes as permutations of rings in the group diagram, including:
      1. {31,5,1} - 8-demicube or demiocteract, 151 - CDel nodea 1.pngCDel 3a.pngCDel branch.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.png; also as h{4,36} CDel node h.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png.
      2. {35,1,1} - 8-orthoplex, 511 - CDel nodea.pngCDel 3a.pngCDel branch.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea 1.png
  4. E-polytope family E8 family: [34,1,1] - CDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel branch.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.png
    • 255 uniform 8-polytopes as permutations of rings in the group diagram, including:
      1. {34,2,1} - Thorold Gosset's semiregular 421, CDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel branch.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea 1.png
      2. {31,4,2} - the uniform 142, CDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel branch 01lr.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.png,
      3. {32,4,1} - the uniform 241, CDel nodea 1.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel branch.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.png

Uniform prismatic forms[edit]

There are many uniform prismatic families, including:

# Coxeter group Coxeter-Dynkin diagram
7+1
1 A7×A1 [3,3,3,3,3,3]×[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
2 BC7×A1 [4,3,3,3,3,3]×[ ] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
3 D7×A1 [34,1,1]×[ ] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
4 E7×A1 [33,2,1]×[ ] CDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel branch.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 3a.pngCDel nodea.pngCDel 2.pngCDel nodea.png
6+2
1 A6×I2(p) [3,3,3,3,3]×[p] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.png
2 BC6×I2(p) [4,3,3,3,3]×[p] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.png
3 D6×I2(p) [33,1,1]×[p] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.png
4 E6×I2(p) [3,3,3,3,3]×[p] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.png
6+1+1
1 A6×A1×A1 [3,3,3,3,3]×[ ]x[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
2 BC6×A1×A1 [4,3,3,3,3]×[ ]x[ ] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
3 D6×A1×A1 [33,1,1]×[ ]x[ ] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
4 E6×A1×A1 [3,3,3,3,3]×[ ]x[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
5+3
1 A5×A3 [34]×[3,3] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
2 BC5×A3 [4,33]×[3,3] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
3 D5×A3 [32,1,1]×[3,3] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
4 A5×BC3 [34]×[4,3] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.png
5 BC5×BC3 [4,33]×[4,3] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.png
6 D5×BC3 [32,1,1]×[4,3] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.png
7 A5×H3 [34]×[5,3] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.png
8 BC5×H3 [4,33]×[5,3] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.png
9 D5×H3 [32,1,1]×[5,3] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.png
5+2+1
1 A5×I2(p)×A1 [3,3,3]×[p]×[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.pngCDel 2.pngCDel node.png
2 BC5×I2(p)×A1 [4,3,3]×[p]×[ ] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.pngCDel 2.pngCDel node.png
3 D5×I2(p)×A1 [32,1,1]×[p]×[ ] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.pngCDel 2.pngCDel node.png
5+1+1+1
1 A5×A1×A1×A1 [3,3,3]×[ ]×[ ]×[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
2 BC5×A1×A1×A1 [4,3,3]×[ ]×[ ]×[ ] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
3 D5×A1×A1×A1 [32,1,1]×[ ]×[ ]×[ ] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
4+4
1 A4×A4 [3,3,3]×[3,3,3] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
2 BC4×A4 [4,3,3]×[3,3,3] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
3 D4×A4 [31,1,1]×[3,3,3] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
4 F4×A4 [3,4,3]×[3,3,3] CDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
5 H4×A4 [5,3,3]×[3,3,3] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
6 BC4×BC4 [4,3,3]×[4,3,3] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
7 D4×BC4 [31,1,1]×[4,3,3] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
8 F4×BC4 [3,4,3]×[4,3,3] CDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
9 H4×BC4 [5,3,3]×[4,3,3] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
10 D4×D4 [31,1,1]×[31,1,1] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.png
11 F4×D4 [3,4,3]×[31,1,1] CDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.png
12 H4×D4 [5,3,3]×[31,1,1] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.png
13 F4×F4 [3,4,3]×[3,4,3] CDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.png
14 H4×F4 [5,3,3]×[3,4,3] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.png
15 H4×H4 [5,3,3]×[5,3,3] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png
4+3+1
1 A4×A3×A1 [3,3,3]×[3,3]×[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
2 A4×BC3×A1 [3,3,3]×[4,3]×[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
3 A4×H3×A1 [3,3,3]×[5,3]×[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
4 BC4×A3×A1 [4,3,3]×[3,3]×[ ] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
5 BC4×BC3×A1 [4,3,3]×[4,3]×[ ] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
6 BC4×H3×A1 [4,3,3]×[5,3]×[ ] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
7 H4×A3×A1 [5,3,3]×[3,3]×[ ] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
8 H4×BC3×A1 [5,3,3]×[4,3]×[ ] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
9 H4×H3×A1 [5,3,3]×[5,3]×[ ] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
10 F4×A3×A1 [3,4,3]×[3,3]×[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
11 F4×BC3×A1 [3,4,3]×[4,3]×[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
12 F4×H3×A1 [3,4,3]×[5,3]×[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
13 D4×A3×A1 [31,1,1]×[3,3]×[ ] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
14 D4×BC3×A1 [31,1,1]×[4,3]×[ ] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
15 D4×H3×A1 [31,1,1]×[5,3]×[ ] CDel nodes.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.png
4+2+2
...
4+2+1+1
...
4+1+1+1+1
...
3+3+2
1 A3×A3×I2(p) [3,3]×[3,3]×[p] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.png
2 BC3×A3×I2(p) [4,3]×[3,3]×[p] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.png
3 H3×A3×I2(p) [5,3]×[3,3]×[p] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.png
4 BC3×BC3×I2(p) [4,3]×[4,3]×[p] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.png
5 H3×BC3×I2(p) [5,3]×[4,3]×[p] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.png
6 H3×H3×I2(p) [5,3]×[5,3]×[p] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.png
3+3+1+1
1 A3×A3×A1×A1 [3,3]×[3,3]×[ ]×[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
2 BC3×A3×A1×A1 [4,3]×[3,3]×[ ]×[ ] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
3 H3×A3×A1×A1 [5,3]×[3,3]×[ ]×[ ] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
4 BC3×BC3×A1×A1 [4,3]×[4,3]×[ ]×[ ] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
5 H3×BC3×A1×A1 [5,3]×[4,3]×[ ]×[ ] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
6 H3×H3×A1×A1 [5,3]×[5,3]×[ ]×[ ] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
3+2+2+1
1 A3×I2(p)×I2(q)×A1 [3,3]×[p]×[q]×[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.pngCDel 2.pngCDel node.pngCDel q.pngCDel node.pngCDel 2.pngCDel node.png
2 BC3×I2(p)×I2(q)×A1 [4,3]×[p]×[q]×[ ] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.pngCDel 2.pngCDel node.pngCDel q.pngCDel node.pngCDel 2.pngCDel node.png
3 H3×I2(p)×I2(q)×A1 [5,3]×[p]×[q]×[ ] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.pngCDel 2.pngCDel node.pngCDel q.pngCDel node.pngCDel 2.pngCDel node.png
3+2+1+1+1
1 A3×I2(p)×A1×A1×A1 [3,3]×[p]×[ ]x[ ]×[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
2 BC3×I2(p)×A1×A1×A1 [4,3]×[p]×[ ]x[ ]×[ ] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
3 H3×I2(p)×A1×A1×A1 [5,3]×[p]×[ ]x[ ]×[ ] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel p.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
3+1+1+1+1+1
1 A3×A1×A1×A1×A1×A1 [3,3]×[ ]x[ ]×[ ]x[ ]×[ ] CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
2 BC3×A1×A1×A1×A1×A1 [4,3]×[ ]x[ ]×[ ]x[ ]×[ ] CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
3 H3×A1×A1×A1×A1×A1 [5,3]×[ ]x[ ]×[ ]x[ ]×[ ] CDel node.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
2+2+2+2
1 I2(p)×I2(q)×I2(r)×I2(s) [p]×[q]×[r]×[s] CDel node.pngCDel p.pngCDel node.pngCDel 2.pngCDel node.pngCDel q.pngCDel node.pngCDel 2.pngCDel node.pngCDel r.pngCDel node.pngCDel 2.pngCDel node.pngCDel s.pngCDel node.png
2+2+2+1+1
1 I2(p)×I2(q)×I2(r)×A1×A1 [p]×[q]×[r]×[ ]×[ ] CDel node.pngCDel p.pngCDel node.pngCDel 2.pngCDel node.pngCDel q.pngCDel node.pngCDel 2.pngCDel node.pngCDel r.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
2+2+1+1+1+1
2 I2(p)×I2(q)×A1×A1×A1×A1 [p]×[q]×[ ]×[ ]×[ ]×[ ] CDel node.pngCDel p.pngCDel node.pngCDel 2.pngCDel node.pngCDel q.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
2+1+1+1+1+1+1
1 I2(p)×A1×A1×A1×A1×A1×A1 [p]×[ ]×[ ]×[ ]×[ ]×[ ]×[ ] CDel node.pngCDel p.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png
1+1+1+1+1+1+1+1
1 A1×A1×A1×A1×A1×A1×A1×A1 [ ]×[ ]×[ ]×[ ]×[ ]×[ ]×[ ]×[ ] CDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.pngCDel 2.pngCDel node.png

The A8 family[edit]

The A8 family has symmetry of order 362880 (9 factorial).

There are 135 forms based on all permutations of the Coxeter-Dynkin diagrams with one or more rings. (128+8-1 cases) These are all enumerated below. Bowers-style acronym names are given in parentheses for cross-referencing.

See also a list of 8-simplex polytopes for symmetric Coxeter plane graphs of these polytopes.

# Coxeter-Dynkin diagram Truncation
indices
Johnson name Basepoint Element counts
7 6 5 4 3 2 1 0
1

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0 8-simplex (ene) (0,0,0,0,0,0,0,0,1) 9 36 84 126 126 84 36 9
2

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1 Rectified 8-simplex (rene) (0,0,0,0,0,0,0,1,1) 18 108 336 630 576 588 252 36
3

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png

t2 Birectified 8-simplex (bene) (0,0,0,0,0,0,1,1,1) 18 144 588 1386 2016 1764 756 84
4

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png

t3 Trirectified 8-simplex (trene) (0,0,0,0,0,1,1,1,1) 1260 126
5

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1 Truncated 8-simplex (tene) (0,0,0,0,0,0,0,1,2) 288 72
6

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2 Cantellated 8-simplex (0,0,0,0,0,0,1,1,2) 1764 252
7

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2 Bitruncated 8-simplex (0,0,0,0,0,0,1,2,2) 1008 252
8

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,3 Runcinated 8-simplex (0,0,0,0,0,1,1,1,2) 4536 504
9

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,3 Bicantellated 8-simplex (0,0,0,0,0,1,1,2,2) 5292 756
10

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png

t2,3 Tritruncated 8-simplex (0,0,0,0,0,1,2,2,2) 2016 504
11

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,4 Stericated 8-simplex (0,0,0,0,1,1,1,1,2) 6300 630
12

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,4 Biruncinated 8-simplex (0,0,0,0,1,1,1,2,2) 11340 1260
13

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png

t2,4 Tricantellated 8-simplex (0,0,0,0,1,1,2,2,2) 8820 1260
14

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png

t3,4 Quadritruncated 8-simplex (0,0,0,0,1,2,2,2,2) 2520 630
15

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,5 Pentellated 8-simplex (0,0,0,1,1,1,1,1,2) 5040 504
16

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,5 Bistericated 8-simplex (0,0,0,1,1,1,1,2,2) 12600 1260
17

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png

t2,5 Triruncinated 8-simplex (0,0,0,1,1,1,2,2,2) 15120 1680
18

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,6 Hexicated 8-simplex (0,0,1,1,1,1,1,1,2) 2268 252
19

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,6 Bipentellated 8-simplex (0,0,1,1,1,1,1,2,2) 7560 756
20

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,7 Heptellated 8-simplex (0,1,1,1,1,1,1,1,2) 504 72
21

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2 Cantitruncated 8-simplex (0,0,0,0,0,0,1,2,3) 2016 504
22

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,3 Runcitruncated 8-simplex (0,0,0,0,0,1,1,2,3) 9828 1512
23

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,3 Runcicantellated 8-simplex (0,0,0,0,0,1,2,2,3) 6804 1512
24

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2,3 Bicantitruncated 8-simplex (0,0,0,0,0,1,2,3,3) 6048 1512
25

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,4 Steritruncated 8-simplex (0,0,0,0,1,1,1,2,3) 20160 2520
26

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,4 Stericantellated 8-simplex (0,0,0,0,1,1,2,2,3) 26460 3780
27

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2,4 Biruncitruncated 8-simplex (0,0,0,0,1,1,2,3,3) 22680 3780
28

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,3,4 Steriruncinated 8-simplex (0,0,0,0,1,2,2,2,3) 12600 2520
29

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,3,4 Biruncicantellated 8-simplex (0,0,0,0,1,2,2,3,3) 18900 3780
30

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png

t2,3,4 Tricantitruncated 8-simplex (0,0,0,0,1,2,3,3,3) 10080 2520
31

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,5 Pentitruncated 8-simplex (0,0,0,1,1,1,1,2,3) 21420 2520
32

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,5 Penticantellated 8-simplex (0,0,0,1,1,1,2,2,3) 42840 5040
33

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2,5 Bisteritruncated 8-simplex (0,0,0,1,1,1,2,3,3) 35280 5040
34

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,3,5 Pentiruncinated 8-simplex (0,0,0,1,1,2,2,2,3) 37800 5040
35

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,3,5 Bistericantellated 8-simplex (0,0,0,1,1,2,2,3,3) 52920 7560
36

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png

t2,3,5 Triruncitruncated 8-simplex (0,0,0,1,1,2,3,3,3) 27720 5040
37

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,4,5 Pentistericated 8-simplex (0,0,0,1,2,2,2,2,3) 13860 2520
38

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,4,5 Bisteriruncinated 8-simplex (0,0,0,1,2,2,2,3,3) 30240 5040
39

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,6 Hexitruncated 8-simplex (0,0,1,1,1,1,1,2,3) 12096 1512
40

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,6 Hexicantellated 8-simplex (0,0,1,1,1,1,2,2,3) 34020 3780
41

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2,6 Bipentitruncated 8-simplex (0,0,1,1,1,1,2,3,3) 26460 3780
42

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,3,6 Hexiruncinated 8-simplex (0,0,1,1,1,2,2,2,3) 45360 5040
43

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,3,6 Bipenticantellated 8-simplex (0,0,1,1,1,2,2,3,3) 60480 7560
44

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,4,6 Hexistericated 8-simplex (0,0,1,1,2,2,2,2,3) 30240 3780
45

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,5,6 Hexipentellated 8-simplex (0,0,1,2,2,2,2,2,3) 9072 1512
46

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,7 Heptitruncated 8-simplex (0,1,1,1,1,1,1,2,3) 3276 504
47

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,7 Hepticantellated 8-simplex (0,1,1,1,1,1,2,2,3) 12852 1512
48

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,3,7 Heptiruncinated 8-simplex (0,1,1,1,1,2,2,2,3) 23940 2520
49

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3 Runcicantitruncated 8-simplex (0,0,0,0,0,1,2,3,4) 12096 3024
50

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,4 Stericantitruncated 8-simplex (0,0,0,0,1,1,2,3,4) 45360 7560
51

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,3,4 Steriruncitruncated 8-simplex (0,0,0,0,1,2,2,3,4) 34020 7560
52

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,3,4 Steriruncicantellated 8-simplex (0,0,0,0,1,2,3,3,4) 34020 7560
53

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2,3,4 Biruncicantitruncated 8-simplex (0,0,0,0,1,2,3,4,4) 30240 7560
54

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,5 Penticantitruncated 8-simplex (0,0,0,1,1,1,2,3,4) 70560 10080
55

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,3,5 Pentiruncitruncated 8-simplex (0,0,0,1,1,2,2,3,4) 98280 15120
56

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,3,5 Pentiruncicantellated 8-simplex (0,0,0,1,1,2,3,3,4) 90720 15120
57

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2,3,5 Bistericantitruncated 8-simplex (0,0,0,1,1,2,3,4,4) 83160 15120
58

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,4,5 Pentisteritruncated 8-simplex (0,0,0,1,2,2,2,3,4) 50400 10080
59

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,4,5 Pentistericantellated 8-simplex (0,0,0,1,2,2,3,3,4) 83160 15120
60

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2,4,5 Bisteriruncitruncated 8-simplex (0,0,0,1,2,2,3,4,4) 68040 15120
61

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,3,4,5 Pentisteriruncinated 8-simplex (0,0,0,1,2,3,3,3,4) 50400 10080
62

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,3,4,5 Bisteriruncicantellated 8-simplex (0,0,0,1,2,3,3,4,4) 75600 15120
63

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png

t2,3,4,5 Triruncicantitruncated 8-simplex (0,0,0,1,2,3,4,4,4) 40320 10080
64

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,6 Hexicantitruncated 8-simplex (0,0,1,1,1,1,2,3,4) 52920 7560
65

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,3,6 Hexiruncitruncated 8-simplex (0,0,1,1,1,2,2,3,4) 113400 15120
66

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,3,6 Hexiruncicantellated 8-simplex (0,0,1,1,1,2,3,3,4) 98280 15120
67

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2,3,6 Bipenticantitruncated 8-simplex (0,0,1,1,1,2,3,4,4) 90720 15120
68

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,4,6 Hexisteritruncated 8-simplex (0,0,1,1,2,2,2,3,4) 105840 15120
69

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,4,6 Hexistericantellated 8-simplex (0,0,1,1,2,2,3,3,4) 158760 22680
70

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2,4,6 Bipentiruncitruncated 8-simplex (0,0,1,1,2,2,3,4,4) 136080 22680
71

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,3,4,6 Hexisteriruncinated 8-simplex (0,0,1,1,2,3,3,3,4) 90720 15120
72

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,3,4,6 Bipentiruncicantellated 8-simplex (0,0,1,1,2,3,3,4,4) 136080 22680
73

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,5,6 Hexipentitruncated 8-simplex (0,0,1,2,2,2,2,3,4) 41580 7560
74

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,5,6 Hexipenticantellated 8-simplex (0,0,1,2,2,2,3,3,4) 98280 15120
75

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2,5,6 Bipentisteritruncated 8-simplex (0,0,1,2,2,2,3,4,4) 75600 15120
76

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,3,5,6 Hexipentiruncinated 8-simplex (0,0,1,2,2,3,3,3,4) 98280 15120
77

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,4,5,6 Hexipentistericated 8-simplex (0,0,1,2,3,3,3,3,4) 41580 7560
78

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,7 Hepticantitruncated 8-simplex (0,1,1,1,1,1,2,3,4) 18144 3024
79

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,3,7 Heptiruncitruncated 8-simplex (0,1,1,1,1,2,2,3,4) 56700 7560
80

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,3,7 Heptiruncicantellated 8-simplex (0,1,1,1,1,2,3,3,4) 45360 7560
81

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,4,7 Heptisteritruncated 8-simplex (0,1,1,1,2,2,2,3,4) 80640 10080
82

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,4,7 Heptistericantellated 8-simplex (0,1,1,1,2,2,3,3,4) 113400 15120
83

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,3,4,7 Heptisteriruncinated 8-simplex (0,1,1,1,2,3,3,3,4) 60480 10080
84

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,5,7 Heptipentitruncated 8-simplex (0,1,1,2,2,2,2,3,4) 56700 7560
85

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,5,7 Heptipenticantellated 8-simplex (0,1,1,2,2,2,3,3,4) 120960 15120
86

CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,6,7 Heptihexitruncated 8-simplex (0,1,2,2,2,2,2,3,4) 18144 3024
87

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,4 Steriruncicantitruncated 8-simplex (0,0,0,0,1,2,3,4,5) 60480 15120
88

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,5 Pentiruncicantitruncated 8-simplex (0,0,0,1,1,2,3,4,5) 166320 30240
89

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,4,5 Pentistericantitruncated 8-simplex (0,0,0,1,2,2,3,4,5) 136080 30240
90

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,3,4,5 Pentisteriruncitruncated 8-simplex (0,0,0,1,2,3,3,4,5) 136080 30240
91

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,3,4,5 Pentisteriruncicantellated 8-simplex (0,0,0,1,2,3,4,4,5) 136080 30240
92

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2,3,4,5 Bisteriruncicantitruncated 8-simplex (0,0,0,1,2,3,4,5,5) 120960 30240
93

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,6 Hexiruncicantitruncated 8-simplex (0,0,1,1,1,2,3,4,5) 181440 30240
94

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,4,6 Hexistericantitruncated 8-simplex (0,0,1,1,2,2,3,4,5) 272160 45360
95

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,3,4,6 Hexisteriruncitruncated 8-simplex (0,0,1,1,2,3,3,4,5) 249480 45360
96

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,3,4,6 Hexisteriruncicantellated 8-simplex (0,0,1,1,2,3,4,4,5) 249480 45360
97

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2,3,4,6 Bipentiruncicantitruncated 8-simplex (0,0,1,1,2,3,4,5,5) 226800 45360
98

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,5,6 Hexipenticantitruncated 8-simplex (0,0,1,2,2,2,3,4,5) 151200 30240
99

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,3,5,6 Hexipentiruncitruncated 8-simplex (0,0,1,2,2,3,3,4,5) 249480 45360
100

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,3,5,6 Hexipentiruncicantellated 8-simplex (0,0,1,2,2,3,4,4,5) 226800 45360
101

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2,3,5,6 Bipentistericantitruncated 8-simplex (0,0,1,2,2,3,4,5,5) 204120 45360
102

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,4,5,6 Hexipentisteritruncated 8-simplex (0,0,1,2,3,3,3,4,5) 151200 30240
103

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,4,5,6 Hexipentistericantellated 8-simplex (0,0,1,2,3,3,4,4,5) 249480 45360
104

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,3,4,5,6 Hexipentisteriruncinated 8-simplex (0,0,1,2,3,4,4,4,5) 151200 30240
105

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,7 Heptiruncicantitruncated 8-simplex (0,1,1,1,1,2,3,4,5) 83160 15120
106

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,4,7 Heptistericantitruncated 8-simplex (0,1,1,1,2,2,3,4,5) 196560 30240
107

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,3,4,7 Heptisteriruncitruncated 8-simplex (0,1,1,1,2,3,3,4,5) 166320 30240
108

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,3,4,7 Heptisteriruncicantellated 8-simplex (0,1,1,1,2,3,4,4,5) 166320 30240
109

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,5,7 Heptipenticantitruncated 8-simplex (0,1,1,2,2,2,3,4,5) 196560 30240
110

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,3,5,7 Heptipentiruncitruncated 8-simplex (0,1,1,2,2,3,3,4,5) 294840 45360
111

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,3,5,7 Heptipentiruncicantellated 8-simplex (0,1,1,2,2,3,4,4,5) 272160 45360
112

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,4,5,7 Heptipentisteritruncated 8-simplex (0,1,1,2,3,3,3,4,5) 166320 30240
113

CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,6,7 Heptihexicantitruncated 8-simplex (0,1,2,2,2,2,3,4,5) 83160 15120
114

CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,3,6,7 Heptihexiruncitruncated 8-simplex (0,1,2,2,2,3,3,4,5) 196560 30240
115

CDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,4,5 Pentisteriruncicantitruncated 8-simplex (0,0,0,1,2,3,4,5,6) 241920 60480
116

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,4,6 Hexisteriruncicantitruncated 8-simplex (0,0,1,1,2,3,4,5,6) 453600 90720
117

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,5,6 Hexipentiruncicantitruncated 8-simplex (0,0,1,2,2,3,4,5,6) 408240 90720
118

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,4,5,6 Hexipentistericantitruncated 8-simplex (0,0,1,2,3,3,4,5,6) 408240 90720
119

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,3,4,5,6 Hexipentisteriruncitruncated 8-simplex (0,0,1,2,3,4,4,5,6) 408240 90720
120

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,3,4,5,6 Hexipentisteriruncicantellated 8-simplex (0,0,1,2,3,4,5,5,6) 408240 90720
121

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png

t1,2,3,4,5,6 Bipentisteriruncicantitruncated 8-simplex (0,0,1,2,3,4,5,6,6) 362880 90720
122

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,4,7 Heptisteriruncicantitruncated 8-simplex (0,1,1,1,2,3,4,5,6) 302400 60480
123

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,5,7 Heptipentiruncicantitruncated 8-simplex (0,1,1,2,2,3,4,5,6) 498960 90720
124

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,4,5,7 Heptipentistericantitruncated 8-simplex (0,1,1,2,3,3,4,5,6) 453600 90720
125

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,3,4,5,7 Heptipentisteriruncitruncated 8-simplex (0,1,1,2,3,4,4,5,6) 453600 90720
126

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png

t0,2,3,4,5,7 Heptipentisteriruncicantellated 8-simplex (0,1,1,2,3,4,5,5,6) 453600 90720
127

CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,6,7 Heptihexiruncicantitruncated 8-simplex (0,1,2,2,2,3,4,5,6) 302400 60480
128

CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,4,6,7 Heptihexistericantitruncated 8-simplex (0,1,2,2,3,3,4,5,6) 498960 90720
129

CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,3,4,6,7 Heptihexisteriruncitruncated 8-simplex (0,1,2,2,3,4,4,5,6) 453600 90720
130

CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,5,6,7 Heptihexipenticantitruncated 8-simplex (0,1,2,3,3,3,4,5,6) 302400 60480
131

CDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,4,5,6 Hexipentisteriruncicantitruncated 8-simplex (0,0,1,2,3,4,5,6,7) 725760 181440
132

CDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,4,5,7 Heptipentisteriruncicantitruncated 8-simplex (0,1,1,2,3,4,5,6,7) 816480 181440
133

CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,4,6,7 Heptihexisteriruncicantitruncated 8-simplex (0,1,2,2,3,4,5,6,7) 816480 181440
134

CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,5,6,7 Heptihexipentiruncicantitruncated 8-simplex (0,1,2,3,3,4,5,6,7) 816480 181440
135

CDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png

t0,1,2,3,4,5,6,7 Omnitruncated 8-simplex (0,1,2,3,4,5,6,7,8) 1451520 362880

The B8 family[edit]

The B8 family has symmetry of order 10321920 (8 factorial x 28). There are 255 forms based on all permutations of the Coxeter-Dynkin diagrams with one or more rings.

See also a list of B8 polytopes for symmetric Coxeter plane graphs of these polytopes.

# Coxeter-Dynkin diagram Schläfli
symbol
Name Element counts
7 6 5 4 3 2 1 0
1 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0{36,4} 8-orthoplex
Diacosipentacontahexazetton (ek)
256 1024 1792 1792 1120 448 112 16
2 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1{36,4} Rectified 8-orthoplex
Rectified diacosipentacontahexazetton (rek)
272 3072 8960 12544 10080 4928 1344 112
3 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t2{36,4} Birectified 8-orthoplex
Birectified diacosipentacontahexazetton (bark)
272 3184 16128 34048 36960 22400 6720 448
4 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t3{36,4} Trirectified 8-orthoplex
Trirectified diacosipentacontahexazetton (tark)
272 3184 16576 48384 71680 53760 17920 1120
5 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t3{4,36} Trirectified 8-cube
Trirectified octeract (tro)
272 3184 16576 47712 80640 71680 26880 1792
6 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t2{4,36} Birectified 8-cube
Birectified octeract (bro)
272 3184 14784 36960 55552 50176 21504 1792
7 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1{4,36} Rectified 8-cube
Rectified octeract (recto)
272 2160 7616 15456 19712 16128 7168 1024
8 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0{4,36} 8-cube
Octeract (octo)
16 112 448 1120 1792 1792 1024 256
9 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1{36,4} Truncated 8-orthoplex
Truncated diacosipentacontahexazetton (tek)
1456 224
10 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2{36,4} Cantellated 8-orthoplex
Small rhombated diacosipentacontahexazetton (srek)
14784 1344
11 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,2{36,4} Bitruncated 8-orthoplex
Bitruncated diacosipentacontahexazetton (batek)
8064 1344
12 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,3{36,4} Runcinated 8-orthoplex
Small prismated diacosipentacontahexazetton (spek)
60480 4480
13 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,3{36,4} Bicantellated 8-orthoplex
Small birhombated diacosipentacontahexazetton (sabork)
67200 6720
14 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t2,3{36,4} Tritruncated 8-orthoplex
Tritruncated diacosipentacontahexazetton (tatek)
24640 4480
15 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,4{36,4} Stericated 8-orthoplex
Small cellated diacosipentacontahexazetton (scak)
125440 8960
16 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,4{36,4} Biruncinated 8-orthoplex
Small biprismated diacosipentacontahexazetton (sabpek)
215040 17920
17 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t2,4{36,4} Tricantellated 8-orthoplex
Small trirhombated diacosipentacontahexazetton (satrek)
161280 17920
18 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t3,4{4,36} Quadritruncated 8-cube
Octeractidiacosipentacontahexazetton (oke)
44800 8960
19 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,5{36,4} Pentellated 8-orthoplex
Small terated diacosipentacontahexazetton (setek)
134400 10752
20 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,5{36,4} Bistericated 8-orthoplex
Small bicellated diacosipentacontahexazetton (sibcak)
322560 26880
21 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t2,5{4,36} Triruncinated 8-cube
Small triprismato-octeractidiacosipentacontahexazetton (sitpoke)
376320 35840
22 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t2,4{4,36} Tricantellated 8-cube
Small trirhombated octeract (satro)
215040 26880
23 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t2,3{4,36} Tritruncated 8-cube
Tritruncated octeract (tato)
48384 10752
24 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,6{36,4} Hexicated 8-orthoplex
Small petated diacosipentacontahexazetton (supek)
64512 7168
25 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,6{4,36} Bipentellated 8-cube
Small biteri-octeractidiacosipentacontahexazetton (sabtoke)
215040 21504
26 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1,5{4,36} Bistericated 8-cube
Small bicellated octeract (sobco)
358400 35840
27 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1,4{4,36} Biruncinated 8-cube
Small biprismated octeract (sabepo)
322560 35840
28 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1,3{4,36} Bicantellated 8-cube
Small birhombated octeract (subro)
150528 21504
29 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1,2{4,36} Bitruncated 8-cube
Bitruncated octeract (bato)
28672 7168
30 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,7{4,36} Heptellated 8-cube
Small exi-octeractidiacosipentacontahexazetton (saxoke)
14336 2048
31 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t0,6{4,36} Hexicated 8-cube
Small petated octeract (supo)
64512 7168
32 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,5{4,36} Pentellated 8-cube
Small terated octeract (soto)
143360 14336
33 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,4{4,36} Stericated 8-cube
Small cellated octeract (soco)
179200 17920
34 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,3{4,36} Runcinated 8-cube
Small prismated octeract (sopo)
129024 14336
35 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,2{4,36} Cantellated 8-cube
Small rhombated octeract (soro)
50176 7168
36 CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,1{4,36} Truncated 8-cube
Truncated octeract (tocto)
8192 2048
37 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,2{36,4} Cantitruncated 8-orthoplex
Great rhombated diacosipentacontahexazetton
16128 2688
38 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,3{36,4} Runcitruncated 8-orthoplex
Prismatotruncated diacosipentacontahexazetton
127680 13440
39 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,3{36,4} Runcicantellated 8-orthoplex
Prismatorhombated diacosipentacontahexazetton
80640 13440
40 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,2,3{36,4} Bicantitruncated 8-orthoplex
Great birhombated diacosipentacontahexazetton
73920 13440
41 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,4{36,4} Steritruncated 8-orthoplex
Cellitruncated diacosipentacontahexazetton
394240 35840
42 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,4{36,4} Stericantellated 8-orthoplex
Cellirhombated diacosipentacontahexazetton
483840 53760
43 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,2,4{36,4} Biruncitruncated 8-orthoplex
Biprismatotruncated diacosipentacontahexazetton
430080 53760
44 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,3,4{36,4} Steriruncinated 8-orthoplex
Celliprismated diacosipentacontahexazetton
215040 35840
45 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,3,4{36,4} Biruncicantellated 8-orthoplex
Biprismatorhombated diacosipentacontahexazetton
322560 53760
46 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t2,3,4{36,4} Tricantitruncated 8-orthoplex
Great trirhombated diacosipentacontahexazetton
179200 35840
47 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,5{36,4} Pentitruncated 8-orthoplex
Teritruncated diacosipentacontahexazetton
564480 53760
48 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,5{36,4} Penticantellated 8-orthoplex
Terirhombated diacosipentacontahexazetton
1075200 107520
49 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,2,5{36,4} Bisteritruncated 8-orthoplex
Bicellitruncated diacosipentacontahexazetton
913920 107520
50 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,3,5{36,4} Pentiruncinated 8-orthoplex
Teriprismated diacosipentacontahexazetton
913920 107520
51 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,3,5{36,4} Bistericantellated 8-orthoplex
Bicellirhombated diacosipentacontahexazetton
1290240 161280
52 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t2,3,5{36,4} Triruncitruncated 8-orthoplex
Triprismatotruncated diacosipentacontahexazetton
698880 107520
53 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,4,5{36,4} Pentistericated 8-orthoplex
Tericellated diacosipentacontahexazetton
322560 53760
54 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,4,5{36,4} Bisteriruncinated 8-orthoplex
Bicelliprismated diacosipentacontahexazetton
698880 107520
55 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t2,3,5{4,36} Triruncitruncated 8-cube
Triprismatotruncated octeract
645120 107520
56 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t2,3,4{4,36} Tricantitruncated 8-cube
Great trirhombated octeract
241920 53760
57 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,6{36,4} Hexitruncated 8-orthoplex
Petitruncated diacosipentacontahexazetton
344064 43008
58 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,6{36,4} Hexicantellated 8-orthoplex
Petirhombated diacosipentacontahexazetton
967680 107520
59 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,2,6{36,4} Bipentitruncated 8-orthoplex
Biteritruncated diacosipentacontahexazetton
752640 107520
60 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,3,6{36,4} Hexiruncinated 8-orthoplex
Petiprismated diacosipentacontahexazetton
1290240 143360
61 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,3,6{36,4} Bipenticantellated 8-orthoplex
Biterirhombated diacosipentacontahexazetton
1720320 215040
62 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1,4,5{4,36} Bisteriruncinated 8-cube
Bicelliprismated octeract
860160 143360
63 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,4,6{36,4} Hexistericated 8-orthoplex
Peticellated diacosipentacontahexazetton
860160 107520
64 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,3,6{4,36} Bipenticantellated 8-cube
Biterirhombated octeract
1720320 215040
65 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1,3,5{4,36} Bistericantellated 8-cube
Bicellirhombated octeract
1505280 215040
66 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1,3,4{4,36} Biruncicantellated 8-cube
Biprismatorhombated octeract
537600 107520
67 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,5,6{36,4} Hexipentellated 8-orthoplex
Petiterated diacosipentacontahexazetton
258048 43008
68 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,2,6{4,36} Bipentitruncated 8-cube
Biteritruncated octeract
752640 107520
69 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1,2,5{4,36} Bisteritruncated 8-cube
Bicellitruncated octeract
1003520 143360
70 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1,2,4{4,36} Biruncitruncated 8-cube
Biprismatotruncated octeract
645120 107520
71 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1,2,3{4,36} Bicantitruncated 8-cube
Great birhombated octeract
172032 43008
72 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,7{36,4} Heptitruncated 8-orthoplex
Exitruncated diacosipentacontahexazetton
93184 14336
73 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,7{36,4} Hepticantellated 8-orthoplex
Exirhombated diacosipentacontahexazetton
365568 43008
74 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t0,5,6{4,36} Hexipentellated 8-cube
Petiterated octeract
258048 43008
75 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,3,7{36,4} Heptiruncinated 8-orthoplex
Exiprismated diacosipentacontahexazetton
680960 71680
76 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t0,4,6{4,36} Hexistericated 8-cube
Peticellated octeract
860160 107520
77 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,4,5{4,36} Pentistericated 8-cube
Tericellated octeract
394240 71680
78 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,3,7{4,36} Heptiruncinated 8-cube
Exiprismated octeract
680960 71680
79 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t0,3,6{4,36} Hexiruncinated 8-cube
Petiprismated octeract
1290240 143360
80 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,3,5{4,36} Pentiruncinated 8-cube
Teriprismated octeract
1075200 143360
81 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,3,4{4,36} Steriruncinated 8-cube
Celliprismated octeract
358400 71680
82 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,7{4,36} Hepticantellated 8-cube
Exirhombated octeract
365568 43008
83 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t0,2,6{4,36} Hexicantellated 8-cube
Petirhombated octeract
967680 107520
84 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,2,5{4,36} Penticantellated 8-cube
Terirhombated octeract
1218560 143360
85 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,2,4{4,36} Stericantellated 8-cube
Cellirhombated octeract
752640 107520
86 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,2,3{4,36} Runcicantellated 8-cube
Prismatorhombated octeract
193536 43008
87 CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,1,7{4,36} Heptitruncated 8-cube
Exitruncated octeract
93184 14336
88 CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t0,1,6{4,36} Hexitruncated 8-cube
Petitruncated octeract
344064 43008
89 CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,1,5{4,36} Pentitruncated 8-cube
Teritruncated octeract
609280 71680
90 CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,1,4{4,36} Steritruncated 8-cube
Cellitruncated octeract
573440 71680
91 CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,1,3{4,36} Runcitruncated 8-cube
Prismatotruncated octeract
279552 43008
92 CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,1,2{4,36} Cantitruncated 8-cube
Great rhombated octeract
57344 14336
93 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,2,3{36,4} Runcicantitruncated 8-orthoplex
Great prismated diacosipentacontahexazetton
147840 26880
94 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,2,4{36,4} Stericantitruncated 8-orthoplex
Celligreatorhombated diacosipentacontahexazetton
860160 107520
95 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,3,4{36,4} Steriruncitruncated 8-orthoplex
Celliprismatotruncated diacosipentacontahexazetton
591360 107520
96 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,3,4{36,4} Steriruncicantellated 8-orthoplex
Celliprismatorhombated diacosipentacontahexazetton
591360 107520
97 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,2,3,4{36,4} Biruncicantitruncated 8-orthoplex
Great biprismated diacosipentacontahexazetton
537600 107520
98 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,2,5{36,4} Penticantitruncated 8-orthoplex
Terigreatorhombated diacosipentacontahexazetton
1827840 215040
99 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,3,5{36,4} Pentiruncitruncated 8-orthoplex
Teriprismatotruncated diacosipentacontahexazetton
2419200 322560
100 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,3,5{36,4} Pentiruncicantellated 8-orthoplex
Teriprismatorhombated diacosipentacontahexazetton
2257920 322560
101 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,2,3,5{36,4} Bistericantitruncated 8-orthoplex
Bicelligreatorhombated diacosipentacontahexazetton
2096640 322560
102 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,4,5{36,4} Pentisteritruncated 8-orthoplex
Tericellitruncated diacosipentacontahexazetton
1182720 215040
103 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,4,5{36,4} Pentistericantellated 8-orthoplex
Tericellirhombated diacosipentacontahexazetton
1935360 322560
104 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,2,4,5{36,4} Bisteriruncitruncated 8-orthoplex
Bicelliprismatotruncated diacosipentacontahexazetton
1612800 322560
105 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,3,4,5{36,4} Pentisteriruncinated 8-orthoplex
Tericelliprismated diacosipentacontahexazetton
1182720 215040
106 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,3,4,5{36,4} Bisteriruncicantellated 8-orthoplex
Bicelliprismatorhombated diacosipentacontahexazetton
1774080 322560
107 CDel node.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t2,3,4,5{4,36} Triruncicantitruncated 8-cube
Great triprismato-octeractidiacosipentacontahexazetton
967680 215040
108 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,2,6{36,4} Hexicantitruncated 8-orthoplex
Petigreatorhombated diacosipentacontahexazetton
1505280 215040
109 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,3,6{36,4} Hexiruncitruncated 8-orthoplex
Petiprismatotruncated diacosipentacontahexazetton
3225600 430080
110 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,3,6{36,4} Hexiruncicantellated 8-orthoplex
Petiprismatorhombated diacosipentacontahexazetton
2795520 430080
111 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,2,3,6{36,4} Bipenticantitruncated 8-orthoplex
Biterigreatorhombated diacosipentacontahexazetton
2580480 430080
112 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,4,6{36,4} Hexisteritruncated 8-orthoplex
Peticellitruncated diacosipentacontahexazetton
3010560 430080
113 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,4,6{36,4} Hexistericantellated 8-orthoplex
Peticellirhombated diacosipentacontahexazetton
4515840 645120
114 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,2,4,6{36,4} Bipentiruncitruncated 8-orthoplex
Biteriprismatotruncated diacosipentacontahexazetton
3870720 645120
115 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,3,4,6{36,4} Hexisteriruncinated 8-orthoplex
Peticelliprismated diacosipentacontahexazetton
2580480 430080
116 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,3,4,6{4,36} Bipentiruncicantellated 8-cube
Biteriprismatorhombi-octeractidiacosipentacontahexazetton
3870720 645120
117 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1,3,4,5{4,36} Bisteriruncicantellated 8-cube
Bicelliprismatorhombated octeract
2150400 430080
118 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,5,6{36,4} Hexipentitruncated 8-orthoplex
Petiteritruncated diacosipentacontahexazetton
1182720 215040
119 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,5,6{36,4} Hexipenticantellated 8-orthoplex
Petiterirhombated diacosipentacontahexazetton
2795520 430080
120 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,2,5,6{4,36} Bipentisteritruncated 8-cube
Bitericellitrunki-octeractidiacosipentacontahexazetton
2150400 430080
121 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,3,5,6{36,4} Hexipentiruncinated 8-orthoplex
Petiteriprismated diacosipentacontahexazetton
2795520 430080
122 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,2,4,6{4,36} Bipentiruncitruncated 8-cube
Biteriprismatotruncated octeract
3870720 645120
123 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1,2,4,5{4,36} Bisteriruncitruncated 8-cube
Bicelliprismatotruncated octeract
1935360 430080
124 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,4,5,6{36,4} Hexipentistericated 8-orthoplex
Petitericellated diacosipentacontahexazetton
1182720 215040
125 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t1,2,3,6{4,36} Bipenticantitruncated 8-cube
Biterigreatorhombated octeract
2580480 430080
126 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1,2,3,5{4,36} Bistericantitruncated 8-cube
Bicelligreatorhombated octeract
2365440 430080
127 CDel node.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t1,2,3,4{4,36} Biruncicantitruncated 8-cube
Great biprismated octeract
860160 215040
128 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,2,7{36,4} Hepticantitruncated 8-orthoplex
Exigreatorhombated diacosipentacontahexazetton
516096 86016
129 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,3,7{36,4} Heptiruncitruncated 8-orthoplex
Exiprismatotruncated diacosipentacontahexazetton
1612800 215040
130 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,3,7{36,4} Heptiruncicantellated 8-orthoplex
Exiprismatorhombated diacosipentacontahexazetton
1290240 215040
131 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t0,4,5,6{4,36} Hexipentistericated 8-cube
Petitericellated octeract
1182720 215040
132 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,4,7{36,4} Heptisteritruncated 8-orthoplex
Exicellitruncated diacosipentacontahexazetton
2293760 286720
133 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,4,7{36,4} Heptistericantellated 8-orthoplex
Exicellirhombated diacosipentacontahexazetton
3225600 430080
134 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t0,3,5,6{4,36} Hexipentiruncinated 8-cube
Petiteriprismated octeract
2795520 430080
135 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,3,4,7{4,36} Heptisteriruncinated 8-cube
Exicelliprismato-octeractidiacosipentacontahexazetton
1720320 286720
136 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png t0,3,4,6{4,36} Hexisteriruncinated 8-cube
Peticelliprismated octeract
2580480 430080
137 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.png t0,3,4,5{4,36} Pentisteriruncinated 8-cube
Tericelliprismated octeract
1433600 286720
138 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png t0,1,5,7{36,4} Heptipentitruncated 8-orthoplex
Exiteritruncated diacosipentacontahexazetton
1612800 215040
139 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png t0,2,5,7{4,36} Heptipenticantellated 8-cube
Exiterirhombi-octeractidiacosipentacontahexazetton
3440640 430080
140 CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node.png