A Pentagram is a polygram with 5 lines and angles. like all polygrams, it has at least 1 intersecting line. a Regular Pentagram is what most people call a star.
Three-dimensional figures
Further information: Uniform polyhedron: Icosahedral symmetry
Several polyhedra incorporate pentagrams:
Pentagrammic prism
Pentagrammic antiprism
Pentagrammic crossed antiprism
Small stellated dodecahedron
Small ditrigonal icosidodecahedron
Small dodecahemicosahedron
Snub dodecadodecahedron
Small snub icosicosidodecahedron
Small retrosnub icosicosidodecahedron
16th stellation of icosidodecahedron
Higher dimensions
Orthogonal projections of higher dimensional polytopes can also create pentagrammic figures:
| 4D | 5D | ||
|---|---|---|---|
 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. |
All ten 4-dimensional Schläfli-Hess polychoron have either pentagrammic faces or vertex figure elements.
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