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120-cell

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In geometry, the 120-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with SchlĂ¤fli symbol {5,3,3}. It is also called a C120, dodecaplex (short for "dodecahedral complex"), hyperdodecahedron, polydodecahedron, hecatonicosachoron, dodecacontachoron and hecatonicosahedroid.

Two intertwining rings of the 120-cell.

Platonic solid

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In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent regular polygons, and the same number of faces meet at each vertex. There are only five such polyhedra:

Kepler's Platonic solid model of the Solar System from Mysterium Cosmographicum (1596)

Icosahedron as a part of Spinoza monument in Amsterdam

A set of polyhedral dice.

Image: Kepler Hexahedron Earth