Order-infinite-3 triangular honeycomb: Difference between revisions

Revision as of 07:48, 28 September 2017

Revision as of 07:48, 28 September 2017

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|bgcolor=#efdcc3|Edge figure||[[heptagon|{7}]]

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|bgcolor=#efdcc3|Vertex figure||[[Order-7 heptagonalapeirogonal tiling|{∞,7}]] [[File:H2 tiling 27i-4.png|40px]]

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|bgcolor=#efdcc3|Dual||self-dual

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|bgcolor=#efdcc3|Properties||Regular

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In the [[geometry]] of [[Hyperbolic space|hyperbolic 3-space]], the '''order-infinite-7 heptagonal honeycomb''' (or '''7,∞,7 honeycomb''') is a regular space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]) with [[Schläfli symbol]] {7,∞,7}. It has seven [[infinite-order heptagonal tiling]]s, {7,∞}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many heptagonal tilings existing around each vertex in an [[order-7 heptagonalapeirogonal tiling]] [[vertex figure]].

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