Order-5 tesseractic honeycomb

Order-5 tesseractic honeycomb(No image)TypeHyperbolic regular honeycombSchläfli symbol{4,3,3,5}Coxeter diagram4-faces {4,3,3}Cells {4,3}Faces {4}Face figure {5}Edge figure {3,5}Vertex figure {3,3,5}DualOrder-4 120-cell honeycombCoxeter group4, [5,3,3,4]PropertiesRegular In the geometry of hyperbolic 4-space, the order-5 tesseractic honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {4,3,3,5}, it has five 8-cells (also known as tesseracts) around each face. Acronym: pitest

Its dual is the order-4 120-cell honeycomb, {5,3,3,4}.

Related polytopes and honeycombs It is related to the Euclidean 4-space (order-4) tesseractic honeycomb, {4,3,3,4}, and the 5-cube, {4,3,3,3} in Euclidean 5-space. The 5-cube can also be seen as an order-3 tesseractic honeycomb on the surface of a 4-sphere.

Order-5 tesseractic honeycomb

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