Hendecagonal antiprism

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Uniform hendecagonal antiprism
Hendecagonal antiprism.png
Type Prismatic uniform polyhedron
Elements F = 24, E = 44
V = 22 (χ = 2)
Faces by sides 22{3}+2{11}
Schläfli symbol s{2,22}
sr{2,11}
Wythoff symbol | 2 2 11
Coxeter diagram 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
Symmetry group D11d, [2+,22], (2*11), order 44
Rotation group D11, [11,2]+, (11.2.2), order 22
References U77(i)
Dual
Properties convex
Hendecagonal antiprism vf.png
Vertex figure
3.3.3.11

In geometry, the hendecagonal antiprism is the ninth 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 11-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[]

Family of uniform n-gonal antiprisms
  • v
Antiprism name Digonal antiprism (Trigonal)
Triangular antiprism 		(Tetragonal)
Square antiprism 		Pentagonal antiprism Hexagonal antiprism Heptagonal antiprism Octagonal antiprism Enneagonal antiprism Decagonal antiprism Hendecagonal antiprism Dodecagonal antiprism ... Apeirogonal antiprism
Polyhedron image 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 ...
Spherical tiling image 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 Plane tiling image Infinite antiprism.svg
Vertex config. 2.3.3.3 3.3.3.3 4.3.3.3 5.3.3.3 6.3.3.3 7.3.3.3 8.3.3.3 9.3.3.3 10.3.3.3 11.3.3.3 12.3.3.3 ... ∞.3.3.3

External links[]

  • Weisstein, Eric W. "Antiprism". MathWorld.
  • polyhedronisme A11
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