6-cube regular 6-cube or 6-orthoplex. 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
Folded cube graph Folded cube graph In graph theory, a folded cube graph is an undirected graph formed from a hypercube graph by adding to it a perfect matching that connects "opposite" pairs of hypercube vertices. The folded cube graph of order "k" (containing 2 vertices) may be formed by adding edges between opposite pairs of vertices in a hypercube graph of order "k" − 1. (In a hypercube with 2 vertices, a pair of vertices are "opposite" if the shortest path between them has length "n".) It can, equivalently, be formed from a hypercube graph (also) of order "k", which has twice