| 词条 | Order-6 triangular hosohedral honeycomb | ||||||||||||||||||||||||
| 释义 |
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. ImagesStereographic projections of central spherical projection, with all edges being projected into circles. Seen below triangular tiling edges are colored into 3 parallel sets for each hemisphere.
Related honeycombsThis honeycomb can be truncated as t{2,3,6} or {}×{3,6}, Coxeter diagram {{CDD|node_1|2|node_1|3|node|6|node}}, seen as one layer of triangular prisms, within a triangular prismatic honeycomb, {{CDD|node_1|infin|node|2|node_1|3|node|6|node}}. See also
References
1 : Honeycombs (geometry) |
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