Characteristics of Pentatope
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This theorem requires a proof.
... also worth mentioning that an astute reader would correlate this result with the similar characteristics of a tetrahedron and triangle, and wonder whether Pascal's triangle comes into this anywhere.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
Theorem
A pentatope has $5$ cells, $10$ faces, $10$ edges and $5$ vertices.
Proof
... also worth mentioning that an astute reader would correlate this result with the similar characteristics of a tetrahedron and triangle, and wonder whether Pascal's triangle comes into this anywhere.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
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Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $5$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $5$