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.
Further information: Uniform polyhedron: Icosahedral symmetry
Several polyhedra incorporate pentagrams:
Pentagrammic crossed antiprism
Small stellated dodecahedron
Small ditrigonal icosidodecahedron
Small snub icosicosidodecahedron
Small retrosnub icosicosidodecahedron
16th stellation of icosidodecahedron
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.
All ten 4-dimensional Schläfli-Hess polychoron have either pentagrammic faces or vertex figure elements.