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
Apollonian gasket
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In mathematics, an Apollonian gasket, Apollonian net, or Apollonian circle packing is a fractal generated by starting with a triple of circles, each tangent to the other two, and successively filling
Circle packing
…of paper. Robert J. Lang has used the mathematics of circle packing to develop computer programs that aid in the design of complex origami figures. Apollonian gasket Circle packing in a rectangle…
Apollonian sphere packing