packing geometry
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Geometry — (Greek γεωμετρία ; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of… … Wikipedia
Packing problem — Part of a series on Puzzles … Wikipedia
packing — /pak ing/, n. 1. the act or work of a person or thing that packs. 2. the preparation and packaging of foodstuffs, esp. to be sold at wholesale. 3. the way in which something is packed. 4. an act or instance of transporting supplies, goods, etc.,… … Universalium
Similarity (geometry) — Geometry = Two geometrical objects are called similar if one is congruent to the result of a uniform scaling (enlarging or shrinking) of the other. One can be obtained from the other by uniformly stretching , possibly with additional rotation,… … Wikipedia
Circle packing theorem — Example of the circle packing theorem on K5, the complete graph on five vertices, minus one edge. The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane … Wikipedia
Circle packing — This article describes the packing of circles on surfaces. For the related article on circle packing with a prescribed intersection graph, please see the circle packing theorem. The most efficient way to pack different sized circles together is… … Wikipedia
Euclidean geometry — A Greek mathematician performing a geometric construction with a compass, from The School of Athens by Raphael. Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his… … Wikipedia
Sphere packing — In mathematics, sphere packing problems are problems concerning arrangements of non overlapping identical spheres which fill a space. Usually the space involved is three dimensional Euclidean space. However, sphere packing problems can be… … Wikipedia
Close-packing of spheres — hcp and fcc close packing of spheres In geometry, close packing of spheres is a dense arrangement of equal spheres in an infinite, regular arrangement (or lattice). Carl Friedrich Gauss proved that the highest average density – that is, the… … Wikipedia
Circle packing in a circle — is a two dimensional packing problem with the objective of packing unit circles into the smallest possible larger circle. Minimum solutions:[1] Number of unit circles Enclosing circle radius Density Optimality Diagram 1 1 1.0000 Trivially optimal … Wikipedia
List of geometry topics — This is list of geometry topics, by Wikipedia page.*Geometric shape covers standard terms for plane shapes *List of mathematical shapes covers all dimensions *List of differential geometry topics *List of geometers *See also list of curves, list… … Wikipedia