Triangular tiling honeycomb: Difference between revisions

Revision as of 13:11, 10 June 2020

Revision as of 22:42, 11 June 2020

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|bgcolor=#e7dcc3|[[Dual polytope|Dual]]||[[Self-dual polytope|Self-dual]]

|-

|bgcolor=#e7dcc3|[[Coxeter group]]s||<math>\overline{{overline|Y}}<sub>3_3</submath>, [3,6,3]<BR><math>{\bar{PP}}_3</math>, [3^[3,3]]

|-

|bgcolor=#e7dcc3|Properties||Regular

Line 67:

|bgcolor=#e7dcc3|[[Vertex figure]]||[[File:Rectified triangular tiling honeycomb verf.png|80px]]<BR>[[triangular prism]]

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|bgcolor=#e7dcc3|[[Coxeter group]]||<math>\overline{{overline|Y}}<sub>3_3</submath>, [3,6,3]

|-

|bgcolor=#e7dcc3|Properties||Vertex-transitive, edge-transitive

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|bgcolor=#e7dcc3|[[Vertex figure]]||[[File:Truncated triangular tiling honeycomb verf.png|80px]]<BR>[[tetrahedron]]

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|bgcolor=#e7dcc3|[[Coxeter group]]||<math>\overline{{overline|Y}}<sub>3_3</submath>, [3,6,3]

|-

|bgcolor=#e7dcc3|Properties||Regular

Line 125:

|bgcolor=#e7dcc3|[[Vertex figure]]||[[File:Bitruncated triangular tiling honeycomb verf.png|80px]]<BR>[[tetragonal disphenoid]]

|-

|bgcolor=#e7dcc3|[[Coxeter group]]||<math>\overline{{overline|Y}}<sub>3_3</submath>×2, <nowiki>[[</nowiki>3,6,3]]

|-

|bgcolor=#e7dcc3|Properties||Vertex-transitive, edge-transitive, cell-transitive

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|bgcolor=#e7dcc3|[[Vertex figure]]||[[File:Cantellated triangular tiling honeycomb verf.png|80px]]<BR>[[wedge (geometry)|wedge]]

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|bgcolor=#e7dcc3|[[Coxeter group]]||<math>\overline{{overline|Y}}<sub>3_3</submath>, [3,6,3]

|-

|bgcolor=#e7dcc3|Properties||Vertex-transitive

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|bgcolor=#e7dcc3|[[Vertex figure]]||[[File:Cantitruncated triangular tiling honeycomb verf.png|80px]]<BR>[[mirrored sphenoid]]

|-

|bgcolor=#e7dcc3|[[Coxeter group]]||<math>\overline{{overline|Y}}<sub>3_3</submath>, [3,6,3]

|-

|bgcolor=#e7dcc3|Properties||Vertex-transitive

Line 209:

|bgcolor=#e7dcc3|[[Vertex figure]]||[[File:Runcinated triangular tiling honeycomb verf.png|80px]]<BR>[[hexagonal antiprism]]

|-

|bgcolor=#e7dcc3|[[Coxeter group]]||2×<math>2\times\overline{{overline|Y}}<sub>3_3</submath>, <nowiki>[[</nowiki>3,6,3]]

|-

|bgcolor=#e7dcc3|Properties||Vertex-transitive, edge-transitive

Line 236:

|bgcolor=#e7dcc3|[[Vertex figure]]||[[File:Runcitruncated triangular tiling honeycomb verf.png|80px]]<BR>[[isosceles trapezoid|isosceles-trapezoidal]] [[pyramid (geometry)|pyramid]]

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|bgcolor=#e7dcc3|[[Coxeter group]]||<math>\overline{{overline|Y}}<sub>3_3</submath>, [3,6,3]

|-

|bgcolor=#e7dcc3|Properties||Vertex-transitive

Line 266:

|bgcolor=#e7dcc3|[[Vertex figure]]||[[File:Omnitruncated triangular tiling honeycomb verf.png|80px]]<BR>[[phyllic disphenoid]]

|-

|bgcolor=#e7dcc3|[[Coxeter group]]||2×<math>2\times\overline{{overline|Y}}<sub>3_3</submath>, <nowiki>[[</nowiki>3,6,3]]

|-

|bgcolor=#e7dcc3|Properties||Vertex-transitive, edge-transitive

Line 293:

|bgcolor=#e7dcc3|[[Vertex figure]]||<!--[[File:Runcisnub_triangular tiling_honeycomb_verf.png|80px]]-->

|-

|bgcolor=#e7dcc3|[[Coxeter group]]||<math>\overline{{overline|Y}}<sub>3_3</submath>, [3⁺,6,3]

|-

|bgcolor=#e7dcc3|Properties||Vertex-transitive, non-uniform