Octagonal bipyramid

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Octagonal bipyramid
Octagonal bipyramid.png
Type bipyramid
Schläfli symbol { } + {8}
Coxeter diagram CDel node f1.pngCDel 2.pngCDel node f1.pngCDel 8.pngCDel node.png
CDel node f1.pngCDel 2.pngCDel node f1.pngCDel 4.pngCDel node f1.png
Faces 16 triangles
Edges 24
Vertices 10
Face configuration V4.4.8
Symmetry group D8h, [8,2], (*228), order 32
Rotation group D8, [8,2]+, (228), order 16
Dual octagonal prism
Properties convex, face-transitive

The octagonal bipyramid is one of the infinite set of bipyramids, dual to the infinite prisms. If an octagonal bipyramid is to be face-transitive, all faces must be isosceles triangles.

Images[edit]

It can be drawn as a tiling on a sphere which also represents the fundamental domains of [4,2], *422 symmetry:

Spherical octagonal bipyramid.png

Related polyhedra[edit]

Family of bipyramids
Polyhedron Triangular bipyramid.png Square bipyramid.png Pentagonale bipiramide.png Hexagonale bipiramide.png Heptagonal bipyramid.png Octagonal bipyramid.png Enneagonal bipyramid.png Decagonal bipyramid.png
Tiling Spherical digonal bipyramid.png Spherical trigonal bipyramid.png Spherical square bipyramid.png Spherical pentagonal bipyramid.png Spherical hexagonal bipyramid.png Spherical heptagonal bipyramid.png Spherical octagonal bipyramid.png Spherical enneagonal bipyramid.png Spherical decagonal bipyramid.png E2 tiling 22i-2 dual.png
Config. V2.4.4 V3.4.4 V4.4.4 V5.4.4 V6.4.4 V7.4.4 V8.4.4 V9.4.4 V10.4.4 ...V∞.4.4
*n42 symmetry mutation of omnitruncated tilings: 4.8.2n
Symmetry
*n42
[n,4]
Spherical Euclidean Compact hyperbolic Paracomp.
*242
[2,4]
*342
[3,4]
*442
[4,4]
*542
[5,4]
*642
[6,4]
*742
[7,4]
*842
[8,4]...
*∞42
[∞,4]
Omnitruncated
figure
Spherical octagonal prism2.png
4.8.4
Uniform tiling 432-t012.png
4.8.6
Uniform tiling 44-t012.png
4.8.8
H2 tiling 245-7.png
4.8.10
H2 tiling 246-7.png
4.8.12
H2 tiling 247-7.png
4.8.14
H2 tiling 248-7.png
4.8.16
H2 tiling 24i-7.png
4.8.∞
Omnitruncated
duals
Spherical octagonal bipyramid2.png
V4.8.4
Spherical disdyakis dodecahedron.png
V4.8.6
1-uniform 2 dual.svg
V4.8.8
Order-4 bisected pentagonal tiling.png
V4.8.10
Hyperbolic domains 642.png
V4.8.12
Hyperbolic domains 742.png
V4.8.14
Hyperbolic domains 842.png
V4.8.16
H2checkers 24i.png
V4.8.∞

External links[edit]