Infinite-order triangular tiling: Difference between revisions

Revision as of 00:04, 12 October 2013

Revision as of 00:38, 12 October 2013

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{{Uniform hyperbolic tiles db|Reg hyperbolic tiling stat table|Ui3_2}}

In [[geometry]], the '''infinite-order triangular tiling''' is a [[regular hyperbolic tiling|regular tiling]] of the [[hyperbolic geometry|hyperbolic plane]] with a [[Schläfli symbol]] of {3,∞}. All vertices are ''ideal'', located at "infinity", and seen on the boundary of the [[Poincaré hyperbolic disk]] projection.

==Related polyhedra and tiling==

This tiling is topologically related as a part of a sequence of regular polyhedra with [[Schläfli symbol]] {3,p}.

{{Triangular regular tiling}}

{{Order i-3 tiling table}}

===Other infinite-order trianglartriangular tilings===

A nonregular infinite-order trianglartriangular tiling can be generated by a [[Recursion (computer science)|recursive]] process from a central triangle as shown here:

:[[File:Ideal-triangle hyperbolic tiling.svg|240px]]