Related Polytopes and Tesellations
The, Coxeter group generates 15 permutations of uniform tessellations, 9 with unique symmetry and 8 with unique geometry. The expanded cubic honeycomb is geometrically identical to the cubic honeycomb.
, | |
] | , |
It is related to the regular 4-polytope tesseract, Schläfli symbol {4,3,3}, which exists in 4-space, and only has 3 cubes around each edge. It's also related to the order-5 cubic honeycomb, Schläfli symbol {4,3,5}, of hyperbolic space with 5 cubes around each edge.
Read more about this topic: Cubic Honeycomb
Famous quotes containing the word related:
“A parent who from his own childhood experience is convinced of the value of fairy tales will have no difficulty in answering his childs questions; but an adult who thinks these tales are only a bunch of lies had better not try telling them; he wont be able to related them in a way which would enrich the childs life.”
—Bruno Bettelheim (20th century)