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What is a pentachoron?

What is a pentachoron? Here are some definitions.

Noun
  1. (mathematics) A four-dimensional object equivalent to a tetrahedron, constructed out of five tetrahedra.
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The pentachoron, hypercube, orthoplex, hecatonicosachoron, and hexacosichoron are analogues of the ordinary Platonic solids.
A 3-simplex is usually called a tetrahedron, and the 4-simplex, which is the basic building block in this theory, is also known as the pentatope, or pentachoron.
Geometrically, K3 relates to a triangle, K4 a tetrahedron, K5 a pentachoron, etc.

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