Related Polychora
The snub 24-cell may be obtained from the 600-cell by removing the vertices of an inscribed 24-cell and taking the convex hull of the remaining vertices. This process is a diminishing of the 600-cell.
The grand antiprism may be obtained by another diminishing of the 600-cell: removing 20 vertices that lie on two mutually orthogonal rings and taking the convex hull of the remaining vertices.
| 120-cell | rectified 120-cell |
truncated 120-cell |
cantellated 120-cell |
runcinated 120-cell |
bitruncated 120-cell |
|||
|---|---|---|---|---|---|---|---|---|
| {5,3,3} | t{5,3,3} | t{5,3,3} | t{5,3,3} | t{5,3,3} | t{5,3,3} | t{5,3,3} | t{5,3,3} | t{5,3,3} |
| 600-cell | rectified 600-cell |
truncated 600-cell |
cantellated 600-cell |
runcinated 600-cell |
bitruncated 600-cell |
|||
| {3,3,5} | t{3,3,5} | t{3,3,5} | t{3,3,5} | t{3,3,5} | t{3,3,5} | t{3,3,5} | t{3,3,5} | t{3,3,5} |
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