Parallelepipeds circumscribed about a convex body in 3-space.
Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
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Displaying similar documents to “On Estermann's proof of a theorem of Minkowski”
Parallelepipeds circumscribed about a convex body in 3-space.
Asphericity of shadows of a convex body.
Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
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Spherical and ellipsoidality theorems for convex bodies
Dorn, C. (1978)
Portugaliae mathematica
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Approximation of convex bodies by sums of line segments
Lindquist, Norman F. (1975)
Portugaliae mathematica
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The skeleta of convex bodies
David G. Larman (2009)
Banach Center Publications
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The connectivity and measure theoretic properties of the skeleta of convex bodies in Euclidean space are discussed, together with some long standing problems and recent results.
Invariant illumination of convex bodies. (Invariante Beleuchtung konvexer Körper.)
Weißbach, Benulf (1996)
Beiträge zur Algebra und Geometrie
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Asymptotics of cross sections for convex bodies.
Brehm, Ulrich, Voigt, Jürgen (2000)
Beiträge zur Algebra und Geometrie
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On point sets fixing a convex body from within.
Braß, Peter, Herburt, Irmina (1997)
Beiträge zur Algebra und Geometrie
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Perturbations and approximations of support functions of convex bodies.
Groemer, H. (1993)
Beiträge zur Algebra und Geometrie
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Common supporting lines for families of convex bodies in the plane.
Revenko, Sorin M., Soltan, V. (1997)
General Mathematics
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Fixing and hindering systems in combinatorial geometry.
Boltyanski, V., Martini, H. (1999)
Beiträge zur Algebra und Geometrie
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An Example Concerning the Translative Kissing Number of a Convex Body.
Chuanming Zong (1994)
Discrete & computational geometry
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Kinematic formulae for support measures of convex bodies.
Glasauer, Stefan (1999)
Beiträge zur Algebra und Geometrie
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A measure of axial symmetry of centrally symmetric convex bodies
Marek Lassak, Monika Nowicka (2010)
Colloquium Mathematicae
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Denote by Kₘ the mirror image of a planar convex body K in a straight line m. It is easy to show that K*ₘ = conv(K ∪ Kₘ) is the smallest by inclusion convex body whose axis of symmetry is m and which contains K. The ratio axs(K) of the area of K to the minimum area of K*ₘ over all straight lines m is a measure of axial symmetry of K. We prove that axs(K) > 1/2√2 for every centrally symmetric convex body and that this estimate cannot be improved in general. We also give a formula for...