Hyperplane Sections of the <em>n</em>-Dimensional Cube

DOI10.4169/amer.math.monthly.119.10.868zbMath1264.51015DBLPjournals/tamm/FrankR12OpenAlexW2396945766WikidataQ58274011 ScholiaQ58274011MaRDI QIDQ4908576

Harald Riede, Rolfdieter Frank

Publication date: 6 March 2013

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.119.10.868

zbMATH Keywords

volume\(n\)-dimensional cubehyperplane sections

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Length, area and volume in real or complex geometry (51M25) Plane and solid geometry (educational aspects) (97G40) Area and volume (educational aspects) (97G30)

Related Items (8)

Quantitative form of Ball’s cube slicing in ℝⁿ and equality cases in the min-entropy power inequality ⋮ Polytopal balls arising in optimization ⋮ Shallow sections of the hypercube ⋮ Distribution of number of observations required to obtain a cover for the support of a uniform distribution ⋮ The number of gridpoints on hyperplane sections of the 𝑑-dimensional cube ⋮ Calculation of the integral \(\int_{- \infty}^{\infty} (\prod_{k = 1}^{n} \frac{\sin (a_{k}x)}{a_{k}x}) \cdot \cos (bx)dx\) ⋮ Integration of sinc products via function-theoretic methods ⋮ Family of equal-sized \(n\)-dimensional polyhedra satisfying Cavalieri's principle

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