Apeirogonal antiprism

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Apeirogonal antiprism
Infinite antiprism.svg
Rank3
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymAzap
Coxeter diagrams2s∞o (CDel node h.pngCDel 2.pngCDel node h.pngCDel infin.pngCDel node.png)
Elements
FacesN triangles, 2 apeirogons
EdgesN+N
VerticesN
Vertex figureIsosceles trapezoid, edge lengths 1, 2 (bases), 1 (sides)
Measures (edge length 1)
Height
Vertex density
Level of complexity4
Related polytopes
ArmyAzap
RegimentAzap
DualApeirogonal antitegum
ConjugateNone
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryW2×A1/2
ConvexYes

The apeirogonal antiprism, or azap, is a uniform tiling of 2D Euclidean space. It consists of 2 apeirogons and ∞ triangles.

Representations[edit | edit source]

  • CDel node h.pngCDel 2.pngCDel node h.pngCDel infin.pngCDel node h.png
  • CDel node h.pngCDel 2.pngCDel node h.pngCDel infin.pngCDel node.png
  • xo∞ox&#x

External links[edit | edit source]