Simplicial polytope

Not to be confused with Simple polytope.
Examples of simplicial polytopes
Pentagonal bipyramid, an example of a simplicial 3-tope
5-cell, an example of 4-tope
Triangular tiling

In geometry, a simplicial polytope is a polytope whose facets are all simplices. It is topologically dual to simple polytopes. Polytopes that are both simple and simplicial are either simplices or two-dimensional polygons.

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