Polyhedron
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In geometry, a polyhedron is a three-dimensional figure with flat polygonal faces, straight edges and sharp corners or vertices. The term "polyhedron" may refer either to a solid figure or to its boun
An ideal regular octahedron in the Poincaré ball model of hyperbolic space (sphere at infinity not shown). All dihedral angles of this shape are right angles.
Problem 14 of the Moscow Mathematical Papyrus, on calculating the volume of a frustum
Fourteen sided die from the Warring States period
Doppio ritratto, attributed to Jacopo de' Barbari, depicting Luca Pacioli and a student studying a glass rhombicuboctahedron half-filled with water.
Archimedean solid
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The Archimedean solids are a set of thirteen convex polyhedra whose faces are regular polygons and are vertex-transitive, although they are not face-transitive and are generally not edge-transitive. T
Polyhedron
…frustums. Platonic solids are the five ancient polyhedra—tetrahedron, octahedron, icosahedron, cube, and dodecahedron—described by Plato in the Timaeus. Archimedean solids are the class of thirteen polyhedra whose faces are all regular polygons and whose vertices are symmetric to each other; their dual polyhedra are the…
The Archimedean solids. Two of them are chiral, with both forms shown, making 15 models in all.
Truncated icosahedron in De quinque corporibus regularibus
Rhombicuboctahedron drawn by Leonardo da Vinci
Cuboctahedron in Perspectiva Corporum Regularium