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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 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.
In nine-dimensional geometry, a nine-dimensional polytope or 9-polytope is a polytope contained by 8-polytope facets. Each 7-polytope ridge being shared by exactly two 8-polytope facets . A uniform 9-polytope is one which is vertex-transitive , and constructed from uniform 8-polytope facets .
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 tesseract or 4-cube is a four-dimensional analogue of a cube and a square, with eight cubical cells, 24 square faces, and 32 edges. Learn about its geometry, coordinates, nets, construction, and properties from this comprehensive Wikipedia article.
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.
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.
Truncation is an operation that cuts polytope vertices, creating new facets. Learn about different types of truncations, such as uniform, complete, bitruncation, edge-truncation, and alternation, with examples and diagrams.
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