Order-infinite-3 triangular honeycomb: Difference between revisions

Revision as of 08:17, 29 September 2017

Revision as of 08:18, 29 September 2017

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In the [[geometry]] of [[Hyperbolic space|hyperbolic 3-space]], the '''order-infinite-4 triangular honeycomb''' (or '''3,∞,4 honeycomb''') is a regular space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]) with [[Schläfli symbol]] {3,∞,4}.

It has four [[Infiniteinfinite-order triangular tiling]]s, {3,∞}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many [[infinite-order triangular tiling]]stilings existing around each vertex in an [[order-4 apeirogonal tiling]] [[vertex figure]].

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