Several polyhedra incorporate pentagrams:
Orthogonal projections of higher dimensional polytopes can also create pentagrammic figures:
The regular 5-cell (4-simplex) has 5 vertices and 10 edges.
The rectified 5-cell has 10 vertices and 30 edges.
The rectified 5-simplex has 15 vertices, seen in this orthogonal projection as 3 nested pentagrams.
The birectified 5-simplex has 20 vertices, seen in this orthogonal projection as 4 overlapping pentagrams.
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