Great dodecahedron

Great dodecahedron
Type	Kepler–Poinsot polyhedron
Faces	12 pentagons
Edges	30
Vertices	12
Symmetry group	icosahedral symmetry ${\displaystyle I_{\mathrm {h} }}$
Dual polyhedron	small stellated dodecahedron
Properties	regular, non-convex
Vertex figure

In geometry, the great dodecahedron is one of four Kepler–Poinsot polyhedra. It is composed of 12 pentagonal faces (six pairs of parallel pentagons), intersecting each other making a pentagrammic path, with five pentagons meeting at each vertex.