Order-2 apeirogonal tiling

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Apeirogonal tiling
Type	Regular tiling
Vertex configuration	∞.∞ [[File:|40px]]
Face configuration	V2.2.2...
Schläfli symbol(s)	{∞,2}
Wythoff symbol(s)	2 | ∞ 2 2 2 | ∞
Coxeter diagram(s)
Symmetry	[∞,2], (*∞22)
Rotation symmetry	[∞,2]+, (∞22)
Dual	Apeirogonal hosohedron
Properties	Vertex-transitive, edge-transitive, face-transitive

In geometry, an order-2 apeirogonal tiling, apeirogonal dihedron, or infinite dihedron^[1] is a tessellation (gap-free filling with repeated shapes) of the plane consisting of two apeirogons. It may be considered an improper regular tiling of the Euclidean plane, with Schläfli symbol {∞, 2}. Two apeirogons, joined along all their edges, can completely fill the entire plane as an apeirogon is infinite in size and has an interior angle of 180°, which is half of a full 360°.