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centrally symmetric

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  • Introduction to systolic geometry — Systolic geometry is a branch of differential geometry, a field within mathematics, studying problems such as the relationship between the area inside a closed curve C , and the length or perimeter of C . Since the area A may be small while the… …   Wikipedia

  • Mahler volume — In convex geometry, the Mahler volume of a centrally symmetric convex body is a dimensionless quantity that is associated with the body and is invariant under linear transformations. It is named after German English mathematician Kurt Mahler. It… …   Wikipedia

  • Systolic geometry — In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner, and developed by Mikhail Gromov and others, in its arithmetic, ergodic, and topological manifestations.… …   Wikipedia

  • Rook polynomial — Despite its name, the rook polynomial is used not only to solve chess recreational problems but also in a number of problems arising in combinatorial mathematics, group theory, and number theory.The coefficients of the rook polynomial represent… …   Wikipedia

  • Shephard's problem — In mathematics, Shephard s problem is the following geometrical question: if K and L are centrally symmetric convex bodies in n dimensional Euclidean space such that whenever K and L are projected onto a hyperplane, the volume of the projection… …   Wikipedia

  • Icosahedral symmetry — A Soccer ball, a common example of a spherical truncated icosahedron, has full icosahedral symmetry. A regular icosahedron has 60 rotational (or orientation preserving) symmetries, and a symmetry order of 120 including transformations that… …   Wikipedia

  • Convex body — In mathematics, a convex body in n dimensional Euclidean space Rn is a compact convex set with non empty interior. A convex body K is called symmetric if it is centrally symmetric with respect to the origin, i.e. a point x lies in K if and only… …   Wikipedia

  • Platonic solid — In geometry, a Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Specifically, the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex; thus, all… …   Wikipedia

  • Ball (mathematics) — N ball redirects here. For the video game, see N ball (game). A ball is the inside of a sphere In mathematics, a ball is the space inside a sphere. It may be a closed ball (including the boundary points) or an open ball (excluding them). These… …   Wikipedia

  • Norm (mathematics) — This article is about linear algebra and analysis. For field theory, see Field norm. For ideals, see Norm of an ideal. For group theory, see Norm (group). For norms in descriptive set theory, see prewellordering. In linear algebra, functional… …   Wikipedia

  • Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… …   Wikipedia

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