Great dodecahedron

Great dodecahedron
TypeKepler–Poinsot polyhedron
Faces12
Edges30
Vertices12
Symmetry groupicosahedral symmetry
Dual polyhedronsmall stellated dodecahedron
Propertiesregular, non-convex
Vertex figure
3D model of a great dodecahedron

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.