Apeirogonal antiprism

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Apeirogonal antiprism
Rank3
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymAzap
Coxeter diagrams2s∞o ()
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
Flag count16N
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryW2×A1/2
ConvexYes
NatureTame

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

Representations[edit | edit source]

  • xo∞ox&#x

External links[edit | edit source]