Great stellated dodecahedron
Overview
In geometry
, 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
mic faces, with three pentagrams meeting at each vertex.
It shares its vertex arrangement
with the regular dodecahedron, as well as being a stellation
of a (smaller) dodecahedron.
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
