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
Happy Cube The basic challenge of the Happy Cubes puzzles is to construct a single perfect cube from the 6 pieces of a single puzzle which share the same color scheme and texture. A subsequent challenge to this is to fit the pieces back into the 2-dimensional frame from which they came. With the presence of more than one puzzle available, pieces of several different cube puzzles can be joined together to make up larger and more complex structures other than the basic 6 faced cube. Some structures are more difficult to construct than others and the more pieces available, the easier