Related Honeycombs
The, Coxeter group generates 255 permutations of uniform tessellations, 135 with unique symmetry and 134 with unique geometry. The expanded 7-cubic honeycomb is geometrically identical to the 7-cubic honeycomb.
The 7-cubic honeycomb can be alternated into the 7-demicubic honeycomb, replacing the 7-cubes with 7-demicubes, and the alternated gaps are filled by 7-orthoplex facets.
Read more about this topic: 7-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)