Great stellated dodecahedron
Overview
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
, the great stellated dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol {5/2,3}. It is one of four nonconvex regular polyhedra.
It is composed of 12 intersecting pentagram
Pentagram
A pentagram is the shape of a five-pointed star drawn with five straight strokes...
mic faces, with three pentagrams meeting at each vertex.
It shares its vertex arrangement
Vertex arrangement
In geometry, a vertex arrangement is a set of points in space described by their relative positions. They can be described by their use in polytopes....
with the regular dodecahedron, as well as being a stellation
Stellation
Stellation is a process of constructing new polygons , new polyhedra in three dimensions, or, in general, new polytopes in n dimensions. The process consists of extending elements such as edges or face planes, usually in a symmetrical way, until they meet each other again...
of a (smaller) dodecahedron.
Unanswered Questions
