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120-CellIn geometry, the 120-cell, or hecatonicosachoron, is the convex, regular polychoron (a 4-dimensional polytope) with 120 cells (or facets). It is sometimes thought of as the 4-dimensional analog of the dodecahedron. The 120 cells are all regular dodecahedra. Together they have 720 pentagonal faces, 1200 edges, and 600 vertices. The vertex figure of the 120-cell is a tetrahedron. Its Schlfli symbol is {5,3,3}. 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. See also External link - 120-cell – some nice projections of the 120-cell to 2-dimensions.
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