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polyhedron

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All edges are doubled (making it degenerate), sharing 4 faces, but are considered as two overlapping edges as a topological polyhedron. en.wikipedia.org

It is a chiral polyhedron, that is, it has two distinct forms, which are mirror images (or enantiomorphs) of each other. en.wikipedia.org

The lateral facets are pyramid cells, each constructed by one face of the base polyhedron and the apex. en.wikipedia.org

A cell is a polyhedron, and a 4-face is a polychoron. en.wikipedia.org

A cell is the three-dimensional analogue of a face, and is therefore a polyhedron. en.wikipedia.org

The faces in it are considered as two overlapping edges as topological polyhedron. en.wikipedia.org

An alternative way for polyhedral compound models is to use a different colour for each polyhedron component. en.wikipedia.org

This polyhedron looks very similar to the uniform truncated icosahedron which has 12 pentagons, but only 20 hexagons. en.wikipedia.org

The order of the symmetry group is the number of symmetries of the polyhedron. en.wikipedia.org

Each face of this polyhedron shares an edge with each other face. en.wikipedia.org

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