Cubic Honeycomb - Related Polytopes and Tesellations

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 child’s questions; but an adult who thinks these tales are only a bunch of lies had better not try telling them; he won’t be able to related them in a way which would enrich the child’s life.
    Bruno Bettelheim (20th century)