Order-8-3 triangular honeycomb: Difference between revisions

Revision as of 13:17, 28 September 2017

Revision as of 13:17, 28 September 2017

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In the [[geometry]] of [[Hyperbolic space|hyperbolic 3-space]], the '''order-8-3 triangular honeycomb''' (or '''3,8,5 honeycomb''') is a regular space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]) with [[Schläfli symbol]] {3,8,5}. It has five [[order-8 triangular tiling]], {3,8}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many order-8 triangular tilings existing around each vertex in an ''order-5 octagonal tiling'' [[vertex figure]].

{| class=wikitable width=480

|[[File:Hyperbolic honeycomb 3-8-5 poincare.png|240px]]<BR>[[Poincaré disk model]]

<!--|[[File:H3_385_UHS_plane_at_infinity.png|240px]]<BR>Ideal surface-->