Apeirogonal tiling

In geometry, an apeirogonal tiling is a tessellation of the Euclidean plane, hyperbolic plane, or some other two-dimensional space by apeirogons. Tilings of this type include:

  • Order-2 apeirogonal tiling, Euclidean tiling of two half-spaces
  • Order-3 apeirogonal tiling, hyperbolic tiling with 3 apeirogons around a vertex
  • Order-4 apeirogonal tiling, hyperbolic tiling with 4 apeirogons around a vertex
  • Order-5 apeirogonal tiling, hyperbolic tiling with 5 apeirogons around a vertex
  • Infinite-order apeirogonal tiling, hyperbolic tiling with an infinite number of apeirogons around a vertex

See also

  • Apeirogonal antiprism
  • Apeirogonal prism
  • Apeirohedron
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