Order-infinite-3 triangular honeycomb: Difference between revisions

Revision as of 04:19, 28 September 2017

Revision as of 07:38, 28 September 2017

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|bgcolor=#efdcc3|Edge figure||[[pentagon|{5}]]

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|bgcolor=#efdcc3|Vertex figure||[[Order-5 hexagonalapeirogonal tiling|{∞,5}]] [[File:H2 tiling 25i-1.png|40px]]

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|bgcolor=#efdcc3|Dual||[[Order-infinite-3 pentagonal honeycomb|{5,∞,3}]]

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|bgcolor=#efdcc3|Properties||Regular

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In the [[geometry]] of [[Hyperbolic space|hyperbolic 3-space]], the '''order-infinite-3 triangular honeycomb''' (or '''3,∞,5 honeycomb''') is a regular space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]) with [[Schläfli symbol]] {3,∞,5}. It has five [[infinite-order triangular tiling]], {3,∞}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many infinite-order triangular tilings existing around each vertex in an ''order-5 heptagonalapeirogonal tiling'' [[vertex figure]].

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