Order-6 triangular hosohedral honeycomb
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In geometry, the order-6 triangular hosohedral honeycomb a regular space-filling tessellation (or honeycomb) with Schläfli symbol {2,3,6}. It has 6 triangular hosohedra {2,3} around each edge. It is a degenerate honeycomb in Euclidean space, but can be seen as a projection onto the sphere. Its vertex figure, a triangular tiling is seen on each hemisphere.
Order-6 triangular hosohedral honeycomb | |
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Type | Degenerate regular honeycomb |
Schläfli symbol | {2,3,6} |
Coxeter diagrams | |
Cells | {2,3} |
Faces | {2} |
Edge figure | {6} |
Vertex figure | {3,6} |
Dual | Order-2 hexagonal tiling honeycomb |
Coxeter group | [2,3,6] |
Properties | Regular |