Small stellated dodecahedron
Type	Kepler-Poinsot solid
Faces	12 pentagrams
Edges	30
Vertices	12
Vertex configuration	{5/2,5}
Wythoff symbol [1]	5|25/2
Symmetry group	icosahedral Ih
Dual polyhedron	Great dodecahedron
Properties	concave
Vertex Figure

In geometry, the small stellated dodecahedron is a Kepler-Poinsot solid. It is one of four concave regular polyhedra. Jump to: navigation, search Image File history File links Download high resolution version (639x641, 18 KB) Summary Small stellated dodecahedron, U34 Licensing File history Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version. ... A Kepler solid (also called Kepler-Poinsot solid) is a regular non-convex polyhedron, all the faces of which are identical regular polygons and which has the same number of faces meeting at all its vertices (compare to Platonic solids). ... Jump to: navigation, search A pentagram, pentacle, pentalpha, or pentangle A pentagram is a five-pointed star drawn with five straight strokes. ... The symmetry group of an object (e. ... Jump to: navigation, search The icosahedral rotation group I with fundamental domain Apart from the two infinite series of prismatic and antiprismatic symmetry, rotational icosahedral symmetry or chiral icosahedral symmetry of chiral objects and full icosahedral symmetry or achiral icosahedral symmetry are the discrete point symmetries (or equivalently, symmetries on... In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ... Jump to: navigation, search In geometry, the great dodecahedron is a Kepler-Poinsot solid. ... In geometry, concavity is a property of certain geometric figures, and in calculus, a property of certain graphs of functions. ... Jump to: navigation, search Geometry (Greek γεωμετρία; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. ... A Kepler solid (also called Kepler-Poinsot solid) is a regular non-convex polyhedron, all the faces of which are identical regular polygons and which has the same number of faces meeting at all its vertices (compare to Platonic solids). ...

It is composed of 12 pentagrammic faces, with five pentagrams meeting at each vertex.

The 12 vertices match the locations for an icosahedron. Jump to: navigation, search An icosahedron [ˌaıkəsəhiːdrən] noun (plural: -drons, -dra [-drə]) is a polyhedron having 20 faces, but usually a regular icosahedron is meant. ...