Pentagram

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.