Science Fair Project Encyclopedia
120-cell
In 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 Schläfli 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
- List of regular polytopes
- pentachoron (or 4-simplex)
- tesseract (or hypercube)
- cross-polytope
- 24-cell
- 600-cell
External link
- 120-cell – some nice projections of the 120-cell to 2-dimensions.
10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details