6-cube 6-cube In geometry, a 6-cube is a six-dimensional hypercube with 64 vertices, 192 edges, 240 square faces, 160 cubic cells, 60 tesseract 4-faces, and 12 5-cube 5-faces. It has Schläfli symbol {4,3}, being composed of 3 5-cubes around each 4-face. It can be called a hexeract, a portmanteau of tesseract (the "4-cube") with "hex" for six (dimensions) in Greek. It can also be called a regular dodeca-6-tope or dodecapeton, being a 6-dimensional polytope constructed from 12 regular facets. It is a part of an infinite family of polytopes, called hypercubes. The dual of a 6-cube can be called a 6-orthoplex,
Floppy Cube (20), the Rubik's Domino (18) and, to some extent, the Pocket Cube (11). The table also shows that there is only one combination that is exactly 8 moves away from the solved state; this is the combination in which all the corners are in their correct places but all the edges are flipped, analogous to the "superflip" on the Rubik's Cube, which requires 20 moves to solve. The Super Floppy Cube (often shortened to "Super Floppy") is a common variant of the Floppy Cube. It was also invented by Katsuhiko Okamoto but several versions have also been produced by other