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Triangular prismatic honeycomb
From Wikipedia, the free encyclopedia
The triangular prismatic honeycomb or triangular prismatic cellulation is a space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed entirely of triangular prisms.
Triangular prismatic honeycomb | |
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Type | Uniform honeycomb |
Schläfli symbol | {3,6}×{∞} or t0,3{3,6,2,∞} |
Coxeter diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Space group Coxeter notation | [6,3,2,∞] [3[3],2,∞] [(3[3])+,2,∞] |
Dual | Hexagonal prismatic honeycomb |
Properties | vertex-transitive |
It is constructed from a triangular tiling extruded into prisms.
It is one of 28 convex uniform honeycombs.
It consists of 1 + 6 + 1 = 8 edges meeting at a vertex, There are 6 triangular prism cells meeting at an edge and faces are shared between 2 cells.