Tesseract Also known as a “Hypercube”. This is a generalized cube. You can construct it by starting with a cube and extruding it perpendicular to itself. Or you can take all permutations of the coordinates (±1,±1,±1,±1). It has: 16 vertices 32 edges 24 faces (squares) 8 cells (cubes) Schläfli Symbol: {4,3,3} Its dual is the {3,3,4} ("Hyper Octahedron") It’s one of the 6 Platonic Hypersolids.