In geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) on a given surface such that no overlapping occurs...
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Circle packing in a circle is a two-dimensional packing problem with the objective of packing unit circles into the smallest possible larger circle. If...
7 KB (370 words) - 19:34, 30 September 2024
Circle packing in a square is a packing problem in recreational mathematics, where the aim is to pack n unit circles into the smallest possible square...
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squares can be packed into some larger shape, often a square or circle. Square packing in a square is the problem of determining the maximum number of...
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The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane whose...
30 KB (3,849 words) - 21:00, 17 August 2024
distinct from the ideas in the circle packing theorem. The related circle packing problem deals with packing circles, possibly of different sizes, on...
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to Circle Packing: The Theory of Discrete Analytic Functions is a mathematical monograph concerning systems of tangent circles and the circle packing theorem...
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sphere packing problems can be generalised to consider unequal spheres, spaces of other dimensions (where the problem becomes circle packing in two dimensions...
28 KB (3,414 words) - 06:13, 21 May 2024
Trihexagonal tiling (section Circle packing)
as a circle packing, placing equal diameter circles at the center of every point. Every circle is in contact with 4 other circles in the packing (kissing...
16 KB (1,625 words) - 04:25, 24 September 2024
Apollonian gasket (redirect from Apollonian packing)
Integral Apollonian circle packing defined by circle curvatures of (−3, 5, 8, 8) Integral Apollonian circle packing defined by circle curvatures of (−12...
23 KB (2,583 words) - 14:37, 21 March 2024