Order-6 triangular hosohedral honeycomb
In geometry, the order-6 triangular hosohedral honeycomb a regular space-filling tessellation with Schläfli symbol. It has 6 triangular hosohedra 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 |
Centered on equator |