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A126195
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Conjectured values for maximal number of solid spheres of radius 1 that can be rolled all in touch with and on the outside surface of a sphere of radius n.
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0
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OFFSET
| 1,1
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COMMENTS
| A solid sphere of unit radius in touch with and outside a sphere of radius n occupies a projected angle of theta=2*arcsin[1/(1+n)]. (In the projection, the large sphere center, the small sphere center and the point where the tangent from the large sphere center touches the small sphere form a rectilinear triangle with hypotenuse of length 1+n and one cathetus of length 1. One of the angles in the triangle is theta/2.) Values have been obtained by reverse interpolation of these angles theta(n=1,2,3,...)=60, 38.9, 28.95,... degrees etc. from the "min separation" column of the Sloane table to the "npts" column, rounding npts down.
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LINKS
| D. Eppstein, Sphere Packing and Kissing numbers.
J. Fliege, Integration nodes for the sphere.
N. J. A. Sloane, Spherical codes.
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CROSSREFS
| Sequence in context: A158953 A107707 A183053 * A164533 A034319 A097427
Adjacent sequences: A126192 A126193 A126194 * A126196 A126197 A126198
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KEYWORD
| more,nonn
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AUTHOR
| R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 07 2007, corrected Apr 03 2007
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EXTENSIONS
| Updated Fliege's URL - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 05 2010
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