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A bitruncation is an operation on a regular polytope in which every edge is lost and every face is reduced in size.

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A bitruncation is an operation on a regular polytope in which every edge is lost and every face is reduced in size.

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A tetrahedron is the simplest polytope with strictly triangular faces. The tetrahedron has six faces and has slightly raised two opposite vertices of the base of a quadratic pyramid.

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William Jockusch has written:

'Cutting a polytope'

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In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces. A regular octahedron is a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex.

It is a 3-dimensional cross polytope (shape).

---Wikipedia

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Helmut Emde has written:

'Homogene Polytope' -- subject(s): Polytopes

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