Octagonal antiprism

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
Uniform Octagonal antiprism
Octagonal antiprism.png
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}
Wythoff symbol | 2 2 8
Coxeter diagram 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 vertfig.png
Vertex figure

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.

Antiprisms are similar to prisms except the bases are twisted relative to each other, and that the side faces are triangles, rather than quadrilaterals.

In the case of a regular 8-sided base, one usually considers the case where its copy is twisted by an angle 180°/n. Extra regularity is obtained by the line connecting the base centers being perpendicular to the base planes, making it a right antiprism. As faces, it has the two n-gonal bases and, connecting those bases, 2n isosceles triangles.

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

See also[edit]

External links[edit]

  • Weisstein, Eric W. "Antiprism". MathWorld.
  • Octagonal Antiprism -- Interactive Polyhedron Model
  • Virtual Reality Polyhedra www.georgehart.com: The Encyclopedia of Polyhedra