Order-infinite-3 triangular honeycomb: Difference between revisions

Revision as of 07:48, 28 September 2017

Revision as of 07:49, 28 September 2017

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In the [[geometry]] of [[Hyperbolic space|hyperbolic 3-space]], the '''order-infinite-infinite apeirogonal honeycomb''' (or '''∞,∞,∞ honeycomb''') is a regular space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]) with [[Schläfli symbol]] {∞,∞,∞}. It has infinitely many [[infinite-order apeirogonal tiling]] {∞,∞} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many infinite-order apeirogonal tilings existing around each vertex in an [[infinite-order heptagonalapeirogonal tiling]] [[vertex figure]].

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