120-cell
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In geometry, the 120-cell (or hecatonicosachoron) is the convex regular 4-polytope with Schläfli symbol {5,3,3}. It is sometimes thought of as the 4-dimensional analog of the dodecahedron.
The boundary of 120-cell is composed of 120 dodecahedral cells with 4 meeting at each vertex. Together they have 720 pentagonal faces, 1200 edges, and 600 vertices. The vertex figure of the 120-cell is a tetrahedron. There are 4 dodecahedra, 6 pentagons, and 4 edges meeting at every vertex. There are 3 dodecahedra and 3 pentagons meeting every edge. The dual polytope of the 120-cell is the 600-cell.
External link
- 120-cell (http://users.adelphia.net/~eswab/120cell.htm) – some nice projections of the 120-cell to 2-dimensions.