Octagonal antiprism

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Uniform Octagonal antiprism
Octagonal antiprism
Type Prismatic uniform polyhedron
Elements F = 18, E = 32
V = 16 (χ = 2)
Faces by sides 16{3}+2{8}
Schläfli symbol s{2,16}
sr{2,8}
Wythoff symbol | 2 2 8
Coxeter-Dynkin CDel node h.pngCDel 2x.pngCDel node h.pngCDel 16.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 8.pngCDel node h.png
Symmetry group D8d, [2+,16], (2*8), order 32
Rotation group D8, [8,2]+, (822), order 16
References U77(f)
Dual Octagonal trapezohedron
Properties convex
Octagonal antiprism
Vertex figure
3.3.3.8

In geometry, the octagonal antiprism is the 6th in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps.

If faces are all regular, it is a semiregular polyhedron.

See also[edit]

Family of uniform antiprisms
2 3 4 5 6 7 8 9 10 11 12 n
s{2,4}
sr{2,2}
s{2,6}
sr{2,3}
s{2,8}
sr{2,4}
s{2,10}
sr{2,5}
s{2,12}
sr{2,6}
s{2,14}
sr{2,7}
s{2,16}
sr{2,8}
s{2,18}
sr{2,9}
s{2,20}
sr{2,10}
s{2,22}
sr{2,11}
s{2,24}
sr{2,12}
s{2,2n}
sr{2,n}
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 4.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 2x.pngCDel node h.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 6.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 3.pngCDel node h.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 8.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 4.pngCDel node h.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 1x.pngCDel 0x.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 5.pngCDel node h.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 1x.pngCDel 2x.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 6.pngCDel node h.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 1x.pngCDel 4.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 7.pngCDel node h.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 1x.pngCDel 6.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 8.pngCDel node h.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 1x.pngCDel 8.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 9.pngCDel node h.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 2x.pngCDel 0x.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 10.pngCDel node h.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 2x.pngCDel 2x.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 11.pngCDel node h.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 2x.pngCDel 4.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 12.pngCDel node h.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 2x.pngCDel n.pngCDel node.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel n.pngCDel node h.png
Digonal antiprism.png Trigonal antiprism.png Square antiprism.png Pentagonal antiprism.png Hexagonal antiprism.png Antiprism 7.png Octagonal antiprism.png Enneagonal antiprism.png Decagonal antiprism.png Hendecagonal antiprism.png Dodecagonal antiprism.png
As spherical polyhedra
Spherical digonal antiprism.png Spherical trigonal antiprism.png Spherical square antiprism.png Spherical pentagonal antiprism.png Spherical hexagonal antiprism.png Spherical heptagonal antiprism.png Spherical octagonal antiprism.png

External links[edit]