Apeirogonal hosohedron

Apeirogonal hosohedron
Apeirogonal hosohedron
Type Regular tiling
Vertex configuration 2
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Face configuration V∞2
Schläfli symbol(s) {2,∞}
Wythoff symbol(s) ∞ | 2 2
Coxeter diagram(s)
Symmetry [∞,2], (*∞22)
Rotation symmetry [∞,2]+, (∞22)
Dual Order-2 apeirogonal tiling
Properties Vertex-transitive, edge-transitive, face-transitive

In geometry, an apeirogonal hosohedron or infinite hosohedron[1] is a tiling of the plane consisting of two vertices at infinity. It may be considered an improper regular tiling of the Euclidean plane, with Schläfli symbol {2,∞}.

  1. ^ Conway (2008), p. 263