Affine-inscribed and affine-circumscribed polygons and polytopes

DOI10.1007/BF02434930zbMath0908.52002MaRDI QIDQ1375207

V. V. Makeev

Publication date: 3 February 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

affinely inscribed/circumscribed varietypolygon/polyhedron

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (10)

Measure of central symmetry for fields of convex figures and three-dimensional convex bodies ⋮ Some extremal problems for vector bundles ⋮ Asphericity of shadows of a convex body ⋮ Parallelepipeds circumscribed about a convex body in 3-space ⋮ Equilateral simplices in normed 4-space ⋮ Some geometric properties of convex bodies. II ⋮ Inscribed and circumscribed polyhedra for a convex body and continuous functions on a sphere in Euclidean space ⋮ Around Borsuk's hypothesis ⋮ Approximation of two-dimensional cross-sections of convex bodies by disks and ellipses ⋮ On approximation of a three-dimensional convex body by cylinders

Cites Work

• Hyperrhombs inscribed to convex bodies
• A proof that there exists a circumscribing cube around any bounded closed convex set in \(\mathbb{R}^3\)
• Figures Inscribed in Convex Sets
• An Introduction to the Geometry of Numbers
• The Topology of Square Pegs in Round Holes
• On inscribing and circumscribing hexagons
• Measure of Asymmetry of Convex Curves
• Sur la densité des réseaux de domaines convexes
• On Inscribing n-Dimensional Sets in a Regular n-Simplex
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