Triangular tiling: Difference between revisions

Revision as of 23:21, 6 May 2016

Revision as of 12:13, 26 August 2016

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{{Triangular tiling table}}

== Related regular complex apeirogons ==

There are 4 [[regular complex apeirogon]]s, sharing the vertices of the triangular tiling. Regular complex apeirogons have vertices and edges, where edges can contain 2 or more vertices. Regular apeirogons p{q}r are contrained by: 1/''p'' + 2/''q'' + 1/''r'' = 1. Edges have ''p'' vertices, and vertex figures are ''r''-gonal.<ref>Coxeter, Regular Complex Polytopes, pp. 111-112, p. 136.</ref>

The first is made of 2-edges, and next two are triangular edges, and the last has overlapping hexagonal edges.

{| class=wikitable

|-

|[[File:Complex apeirogon 2-6-6.png|160px]]

|[[File:Complex apeirogon 3-4-6.png|160px]]

|[[File:Complex apeirogon 3-6-3.png|160px]]

|[[File:Complex apeirogon 6-3-6.png|160px]]

|-

!2{6}6 or {{CDD|node_1|6|6node}}

!3{4}6 or {{CDD|3node_1|4|6node}}

!3{6}3 or {{CDD|3node_1|6|3node}}

!6{3}6 or {{CDD|6node_1|3|6node}}

|}

=== Other triangular tilings===