7-cube 7-cube In geometry, a 7-cube is a seven-dimensional hypercube with 128 vertices, 448 edges, 672 square faces, 560 cubic cells, 280 tesseract 4-faces, 84 penteract 5-faces, and 14 hexeract 6-faces. It can be named by its Schläfli symbol {4,3}, being composed of 3 6-cubes around each 5-face. It can be called a hepteract, a portmanteau of tesseract (the "4-cube") and "hepta" for seven (dimensions) in Greek. It can also be called a regular tetradeca-7-tope or tetradecaexon, being a 7 dimensional polytope constructed from 14 regular facets. It is a part of an infinite family of polytopes, called hypercubes. The dual
Floppy Cube 4); this means they can now be permutated in 12!/(12-4)! different ways. The corners still cannot be flipped; their orientation continues to be fully dependent on their position. All of these positions are attainable: there is no parity constraint, regardless of whether the edge pieces can twist on their own or not. The full number is therefore: This number is significantly larger than the number of combinations on the Floppy Cube. The God's Number for this puzzle is also considerably larger than that of the Floppy Cube: 13 (when edges can twist on their own) or 15 (when they cannot).