Order-infinite-3 triangular honeycomb: Difference between revisions

Revision as of 18:36, 27 January 2019

Revision as of 23:52, 6 April 2019

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

The "ideal surface" projection below is a plane-at-infinity, in the PoincarePoincaré half-space model of H3. It shows a [[Apollonian gasket]] pattern of circles inside a largest circle.

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