Related Uniform Polytopes
| Name | 24-cell | truncated 24-cell | snub 24-cell | rectified 24-cell | cantellated 24-cell | bitruncated 24-cell | runcinated 24-cell | |||
|---|---|---|---|---|---|---|---|---|---|---|
| Schläfli symbol |
{3,4,3} | t{3,4,3} | h{3,4,3} | t{3,4,3} | t{3,4,3} | t{3,4,3} | t{3,4,3} | t{3,4,3} | t{3,4,3} | t{3,4,3} |
| Coxeter-Dynkin diagram |
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| Schlegel diagram |
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| F4 | ||||||||||
| B4 | ||||||||||
| B3(a) | ||||||||||
| B3(b) | ||||||||||
| B2 |
The 24-cell can also be derived as a rectified 16-cell:
| Name | tesseract | rectified tesseract |
truncated tesseract |
cantellated tesseract |
runcinated tesseract |
bitruncated tesseract |
cantitruncated tesseract |
runcitruncated tesseract |
omnitruncated tesseract |
|---|---|---|---|---|---|---|---|---|---|
| Coxeter-Dynkin diagram |
|||||||||
| Schläfli symbol |
{4,3,3} | t{4,3,3} | t{4,3,3} | t{4,3,3} | t{4,3,3} | t{4,3,3} | t{4,3,3} | t{4,3,3} | t{4,3,3} |
| Schlegel diagram |
|||||||||
| B4 Coxeter plane graph | |||||||||
| Name | 16-cell | rectified 16-cell |
truncated 16-cell |
cantellated 16-cell |
runcinated 16-cell |
bitruncated 16-cell |
cantitruncated 16-cell |
runcitruncated 16-cell |
omnitruncated 16-cell |
| Coxeter-Dynkin diagram |
|||||||||
| Schläfli symbol |
{3,3,4} | t{3,3,4} | t{3,3,4} | t{3,3,4} | t{3,3,4} | t{3,3,4} | t{3,3,4} | t{3,3,4} | t{3,3,4} |
| Schlegel diagram |
|||||||||
| B4 Coxeter plane graph | |||||||||
Read more about this topic: 24-cell
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—Robert Frost (1874–1963)