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
The vertices of an order- apeirogonal tiling form a Bethe lattice, a regular infinite tree.
apeirogonal tiling form a See also
References
- Mosseri, R.; Sadoc, J.F. (1982), "The Bethe lattice: a regular tiling of the hyperbolic plane" (PDF), Journal de Physique Lettres, 43 (8): 249–252, doi:10.1051/jphyslet:01982004308024900
Index of articles associated with the same name
This set index article includes a list of related items that share the same name (or similar names). If an internal link incorrectly led you here, you may wish to change the link to point directly to the intended article. Categories: