Circle packing
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In geometry, circle packing is the study of the arrangement of circles on a given surface such that no overlapping occurs and so that no circle can be enlarged without creating an overlap. The associa
The most efficient way to pack different-sized circles together is not obvious.
Hexagonal packing through natural arrangement of equal circles with transitions to an irregular arrangement of unequal circles
Sphere packing
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In geometry, a sphere packing is an arrangement of non-overlapping spheres within a containing space. The spheres considered are usually all of identical size, and the space is usually three-dimension
Circle packing
…density, η, of an arrangement is the proportion of the surface covered by the circles. Generalisations can be made to higher dimensions – this is called sphere packing, which usually deals only with identical spheres. The branch of mathematics generally known as "circle packing" is concerned with the geometry and…
Sphere packing finds practical application in the stacking of cannonballs.