Apeirogonal hosohedron

In geometry, an apeirogonal hosohedron or infinite hosohedron 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,∞}.

Apeirogonal hosohedron

TypeRegular tiling
Vertex configuration2
[[File:|40px]]
Face configurationV2
Schläfli symbol(s){2,}
Wythoff symbol(s) | 2 2
Coxeter diagram(s)
Symmetry[,2], (*22)
Rotation symmetry[,2]+, (22)
DualOrder-2 apeirogonal tiling
PropertiesVertex-transitive, edge-transitive, face-transitive
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