Cube steak recipe crock pot

On this Wikipedia the language links are at the top of the page across from the article title. This article is about the 3-dimensional shape. For cubes in any dimension, see Cube steak recipe crock pot. The cube is the only regular hexahedron and is one of the five Platonic solids.

It has 6 faces, 12 edges, and 8 vertices. The cube is also a square parallelepiped, an equilateral cuboid and a right rhombohedron a 3-zonohedron. The cube is dual to the octahedron. It has cubical or octahedral symmetry. The cube is the only convex polyhedron whose faces are all squares. The cube has four special orthogonal projections, centered, on a vertex, edges, face and normal to its vertex figure.

The first and third correspond to the A2 and B2 Coxeter planes. Not to be confused with Squircle. The cube can also be represented as a spherical tiling, and projected onto the plane via a stereographic projection. This projection is conformal, preserving angles but not areas or lengths.

Straight lines on the sphere are projected as circular arcs on the plane. A cube can also be considered the limiting case of a 3D superellipsoid as all three exponents approach infinity. The cube has three uniform colorings, named by the unique colors of the square faces around each vertex: 111, 112, 123. The cube has four classes of symmetry, which can be represented by vertex-transitive coloring the faces.

The highest octahedral symmetry Oh has all the faces the same color. The dihedral symmetry D4h comes from the cube being a solid, with all the six sides being different colors. The 11 nets of the cube. These familiar six-sided dice are cube-shaped. To color the cube so that no two adjacent faces have the same color, one would need at least three colors. The cube is the cell of the only regular tiling of three-dimensional Euclidean space.