Order-infinite-3 triangular honeycomb: Difference between revisions

Revision as of 08:06, 28 September 2017

Revision as of 08:07, 28 September 2017

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In the [[geometry]] of [[Hyperbolic space|hyperbolic 3-space]], the '''order-infinite-3 heptagonal honeycomb''' (or '''7,∞,3 honeycomb''') a regular space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]). Each infinite cell consists of a [[orderinfinite-7order hexagonalheptagonal tiling]] whose vertices lie on a [[Hypercycle (geometry)|2-hypercycle]], each of which has a limiting circle on the ideal sphere.

The [[Schläfli symbol]] of the ''order-infinite-3 heptagonal honeycomb'' is {7,∞,3}, with three infinite-order heptagonal tilings meeting at each edge. The [[vertex figure]] of this honeycomb is a order-3 apeirogonal tiling, {∞,3}.