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Largest empty sphere information


The dashed circle is the outline of the largest empty sphere in the close-packing of spheres. See also Interstitial defect.
Finding the largest empty circle using the Voronoi diagram (two solutions).

In computational geometry, the largest empty sphere problem is the problem of finding a hypersphere of largest radius in d-dimensional space whose interior does not overlap with any given obstacles.

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Largest empty sphere

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In computational geometry, the largest empty sphere problem is the problem of finding a hypersphere of largest radius in d-dimensional space whose interior...

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Largest empty rectangle

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In computational geometry, the largest empty rectangle problem, maximal empty rectangle problem or maximum empty rectangle problem, is the problem of...

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Sphere

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A sphere (from Greek σφαῖρα, sphaîra) is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. Formally, a sphere is the...

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Bounding sphere

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non-empty set of objects of finite extension in d {\displaystyle d} -dimensional space, for example a set of points, a bounding sphere, enclosing sphere or...

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List of combinatorial computational geometry topics

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bounding sphere (Smallest enclosing sphere) 2-D case: Smallest bounding circle Largest empty rectangle (Maximum empty rectangle) Largest empty sphere 2-D case:...

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Optimal facility location

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of the Euclidean metric, it is known as the largest empty sphere problem. The planar case (largest empty circle problem) may be solved in optimal time...

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Sinosphere

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Quốc ngữ. The Sinosphere, also known as the Chinese cultural sphere, East Asian cultural sphere, or the Sinic world, encompasses multiple countries in East...

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Diameter

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chord of the circle. Both definitions are also valid for the diameter of a sphere. In more modern usage, the length d {\displaystyle d} of a diameter is also...

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List of largest stars

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Below are lists of the largest stars currently known, ordered by radius and separated into categories by galaxy. The unit of measurement used is the radius...

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Local Hole

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The KBC Void (or Local Hole) is an immense, comparatively empty region of space, named after astronomers Ryan Keenan, Amy Barger, and Lennox Cowie, who...

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Unit

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floating point Unit set, a singleton, a set with exactly 1 element Unit sphere, a sphere with a radius of length 1 Unit square, a square with sides of length...

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Homotopical connectivity

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that prevents some suitably-placed sphere from continuously shrinking to a point.: 78  Equivalently, it is a sphere that cannot be continuously extended...

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Ellipsoid

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An ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation...

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Euclidean minimum spanning tree

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number of edges per vertex is bounded by the kissing number of tangent unit spheres. The total length of the edges, for points in a unit square, is at most...

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Dimension

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surface of a sphere. A two-dimensional Euclidean space is a two-dimensional space on the plane. The inside of a cube, a cylinder or a sphere is three-dimensional...

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Liga Stavok

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interests and development of this sphere. Under his leadership, the Association has united more than half of the largest actors in the Russian market. After...

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7

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e0 an identity element. Also, the lowest known dimension for an exotic sphere is the seventh dimension, with a total of 28 differentiable structures;...

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Geopotential model

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gravitational potential energy per unit mass. In the special case of a sphere with a spherically symmetric mass density then ρ = ρ(s); i.e., density depends...

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Protists in the fossil record

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reportedly, some specimens reach up to 14 cm in length, making them among the largest foraminifera extant or extinct. Fusulinids are the earliest lineage of...

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Atmospheric entry

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vehicles: The simplest axisymmetric shape is the sphere or spherical section. This can either be a complete sphere or a spherical section forebody with a converging...

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List of American Pickers episodes

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motorcycle, Bosch horn sign, outboard motor, chair, stained glass windows, 1960s sphere loudspeakers. Collecting on a monumental scale, father and son duo Jerry...

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Economy of Russia

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was the world's 11th-largest economy by nominal GDP, 6th-largest by purchasing power parity (PPP) according to IMF, and 5th-largest according to World Bank...

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