Bodies of constant width in arbitrary dimension

DOI10.1002/mana.200510512zbMath1121.52009OpenAlexW1992689803MaRDI QIDQ5297189

Edouard Oudet, Thomas Lachand-Robert

Publication date: 18 July 2007

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200510512

zbMATH Keywords

body of constant widthMeissner bodyReuleaux triangleprescribed projection

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (20)

Parametric shape optimization using the support function ⋮ Asymmetry for convex body of revolution ⋮ Dual mean Minkowski measures and the Grünbaum conjecture for affine diameters ⋮ On a formula for sets of constant width in 2D ⋮ Evolving convex surfaces to constant width ones ⋮ Complete sets in normed linear spaces ⋮ Hyperspaces of convex bodies of constant width ⋮ Shape optimization under width constraint ⋮ Meissner polyhedra ⋮ Stability for the Minkowski measure of convex domains of constant width ⋮ Meissner's mysterious bodies ⋮ On the 1-measure of asymmetry for convex bodies of constant width ⋮ Asymmetry of convex bodies of constant width ⋮ Analytic parametrization of three-dimensional bodies of constant width ⋮ Two measures of asymmetry for revolutionary constant width bodies in \(\mathbb{R}^3\) ⋮ Convex values and Lipschitz behavior of the complete hull mapping ⋮ Reduced convex bodies in Euclidean space -- a survey ⋮ Minimization of the Eigenvalues of the Dirichlet-Laplacian with a Diameter Constraint ⋮ A generalization of domains of constant width ⋮ An open global volume minimization problem

Cites Work

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