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searching for Cross-polytope 5 found (102 total)

Auerbach's lemma (346 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \mathbf {R} ^{n}} has a linear image which contains the unit cross-polytope (the unit ball for the ℓ 1 n {\displaystyle \ell _{1}^{n}} norm) and

Emanuel Lodewijk Elte (409 words) [view diff] no match in snippet view article find links to article

half-measure polytope: HM3, HM4, M5, M6, HM7, HM8, ... Crn = n-orthoplex= cross polytope: Cr3, Cr4, Cr5, Cr6, Cr7, Cr8, ... Semiregular polytopes of first order:

Kalai's 3^d conjecture (781 words) [view diff] no match in snippet view article find links to article

simplicial polytope has at least as many faces of each dimension as the cross polytope, proven by Richard Stanley (1987). Indeed, these two previous papers

Compound of 5-cube and 5-orthoplex (284 words) [view diff] no match in snippet view article find links to article

edition, 1973), Dover edition, ISBN 0-486-61480-8 Olshevsky, George. "Cross polytope". Glossary for Hyperspace. Archived from the original on 4 February

Exceptional object (3,088 words) [view diff] exact match in snippet view article find links to article

regular polyhedra/tilings/hyperbolic tilings are the simplex, hypercube, cross-polytope, and hypercube lattice. Related to tilings and the regular polyhedra