Characteristics of Pentatope
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.
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Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $5$
