Product Description
This is a wireframe model of a stereographic projection into 3 dimensional space of a regular 4 dimensional regular solid, or 4-polytope, called the 120-cell or dodecaplex , which has been projected onto its circumscribed hypersphere. The 120-cell is the four dimensional analogue of the dodecahedron. It has a Schläfli symbol {5,5,3}, which means that the polygon faces of the cells have 5 equal sides, meeting 3 at a vertex, to form an dodecahedral cell, 3 of which meet around each edge in 4 dimensions. The figure in 4-space is 120 dodecahedral cells, all of whose vertices lie on a 4 dimensional hypersphere. All together the dodecaplex has 720 pentagonal faces, 1200 edges, and 600 vertices. The vertex figure (the shape exposed when a 4D corner is sliced off) is a tetrahedron, with 4 dodecahedrons meeting at each vertex. The 120 cell is one of the 6 regular convex polychora (a 4 dimensional regular polytope is called a polychoron). The lengths of the edges are not preserved in this projection, but the angles between them are. The model is the 'midsize' model of the dodecaplex; it is really pretty at a large size.