120-cell
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 – some nice projections of the 120-cell to 2-dimensions.
| Convex regular 4-polytopes | |||||
|---|---|---|---|---|---|
| pentachoron | tesseract | 16-cell | 24-cell | 120-cell | 600-cell |
| {3,3,3} | {4,3,3} | {3,3,4} | {3,4,3} | {5,3,3} | {3,3,5} |