Hexagonal tiling-triangular tiling honeycomb: Difference between revisions

Revision as of 02:08, 20 May 2014

Revision as of 02:16, 20 May 2014

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|bgcolor=#e7dcc3|Type||[[Paracompact uniform honeycomb]]

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|bgcolor=#e7dcc3|[[Schläfli symbol]]||{(3,6,3,46)} or {(6,3,46,3)}

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|bgcolor=#e7dcc3|[[Coxeter diagram]]s||{{CDD|label6|branch_10r|3ab|branch|label4label6}} or {{CDD|label6|branch_01r|3ab|branch|label4label6}}<BR>[[File:CDel K6 636 10.png]] ↔ {{CDD|node_1|6|node_g|3sg|node_g|6|node}}

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|bgcolor=#e7dcc3|Cells||[[Triangular tiling|{3,6}]] [[File:Uniform_tiling 63-t2.png|40px]]<BR>[[Hexagonal tiling|{6,3}]] [[File:Uniform_tiling 63-t0.png|40px]]<BR>[[Trihexagonal tiling|r{6,3}]] [[File:Uniform_tiling 63-t1.png|40px]]

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In the [[geometry]] of [[Hyperbolic space|hyperbolic 3-space]], the '''hexagonal tiling-triangular tiling honeycomb''' is a [[paracompact uniform honeycomb]], constructed from [[triangular tiling]], [[hexagonal tiling]], and [[trihexagonal tiling]] cells, in a [[rhombitrihexagonal tiling]] [[vertex figure]].

== Symmetry==

A lower symmetry form, index 6, of this honeycomb can be constructed with [(6,3,6,3^*)] symmetry, represented by a triangular bipyramidal fundamental ___domain, and [[Coxeter diagram]] [[File:CDel K6 636 10.png]].

== See also ==