Related Polychora
This polytope is the vertex figure of the 5-demicube, and the edge figure of the uniform 221 polytope.
It is also one of 9 uniform polychora constructed from the Coxeter group.
| Name | 5-cell | truncated 5-cell | rectified 5-cell | cantellated 5-cell | bitruncated 5-cell | runcinated 5-cell | |||
|---|---|---|---|---|---|---|---|---|---|
| Schläfli symbol |
{3,3,3} | t{3,3,3} | t{3,3,3} | t{3,3,3} | t{3,3,3} | t{3,3,3} | t{3,3,3} | t{3,3,3} | t{3,3,3} |
| Coxeter-Dynkin diagram |
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| Schlegel diagram |
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| A4 Coxeter plane Graph |
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| A3 Coxeter plane Graph |
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| A2 Coxeter plane Graph |
Read more about this topic: Rectified 5-cell
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“No being exists or can exist which is not related to space in some way. God is everywhere, created minds are somewhere, and body is in the space that it occupies; and whatever is neither everywhere nor anywhere does not exist. And hence it follows that space is an effect arising from the first existence of being, because when any being is postulated, space is postulated.”
—Isaac Newton (1642–1727)