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A 9-cube is a nine-dimensional hypercube with 512 vertices and 18 8-cubes as faces. Learn about its properties, projections, derived polytopes, and references from this Wikipedia article.
A cube is a three-dimensional solid object with six square faces, twelve edges, and eight vertices. It is a regular polyhedron, a parallelohedron, a zonohedron, and a plesiohedron, and has octahedral symmetry and duality with the octahedron.
A comprehensive list of mathematically well-defined shapes, including algebraic curves, surfaces, fractals, polytopes, and tessellations. Each shape is briefly described and classified by dimension, convexity, and other properties.
Square watermelons are watermelons grown into the shape of a cube, invented by graphic designer Tomoyuki Ono in 1978. They are sold in Japan and other countries as ornamental and expensive fruits, but they are inedible because they are harvested before ripe.
A uniform polyhedron is a polyhedron with regular polygons as faces and high symmetry. The web page lists all 75 nonprismatic uniform polyhedra, including their vertex types, Wythoff symbols, symmetry groups, and face configurations.
An octahedron is a polyhedron with eight faces, and a regular octahedron is a Platonic solid with equilateral triangles. Learn about its metric properties, graph representation, related figures and crystal structures.
The rhombicuboctahedron may be constructed from a cube by drawing a smaller one in the middle of each face, parallel to the cube's edges. After removing the edges of a cube, the squares may be joined by adding more squares adjacent between them, and the corners may be filled by the equilateral triangles.
A cuboctahedron is a quasiregular polyhedron with 14 faces, 24 edges and 12 vertices. It can be constructed by cutting off the vertices of a cube or an octahedron, or by joining two triangular cupolas.
