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Results tagged with polytopes
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user 39521
5
votes
Accepted
Edges of the contact polytope of the Leech lattice
Using the unimodular scaling of the Leech lattice, the length of each minimal vector is $\sqrt{4}$. Fixing a particular minimal vector $u$, the remaining minimal vectors $v$ are:
1 vector $v$ with $\ …
- 12.4k
8
votes
Accepted
Is a polytope that has in-spheres for faces of all dimensions already regular?
Suppose $P$ and $P'$ are two polytopes sharing the same set of $k$-in-spheres. Let $Q$ be an arbitrary facet of $P$, and $Q'$ be an arbitrary facet of $P'$. …
- 12.4k