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.
Images
Stereographic 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.
Centered on pole
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Centered on equator
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This honeycomb can be truncated as t{2,3,6} or {}×{3,6}, Coxeter diagram 
, seen as one layer of triangular prisms, within a triangular prismatic honeycomb, 
.
See also
References
