Michael Perfileev. Dense spiral packing of circles in the plane

Natural Sciences / Mathematics / Geometry

Submitted on: Aug 04, 2018, 01:31:43

Description: This paper is devoted to the dense packing of the circles whose radii make up a decreasing geometric progression. It is shown that the solution to the problem of finding the denominator of this progression for such a packing reduces to the solution of the transcendental equation. That is, the problem does not have an exact solution and can only be solved approximately by applying numerical methods and computer software packages. An interesting property of such a package is considered, as well as an example of a dense spiral packing is given and solved for the case of 11 circles

The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.

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