PLATO, APOLLONIUS, AND KLEIN: Playing with Spheres

Giorgio Mantica ()
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Giorgio Mantica: Service de Physique Théorique, CE-Saclay, F-91191 Gif-sur-Yvette, Cedex, France;

International Journal of Modern Physics C (IJMPC), 1993, vol. 04, issue 02, 345-355

Abstract: We show that a large class of circle packings can be generated by combining hyperbolic and spherical (or Euclidean) tessellation groups. We provide the general group-theoretical framework associated to an efficient, geometrically inspired, construction of these packings. We classify the different packings that can be obtained in this way, and we investigate their fractal properties.

Date: 1993
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DOI: 10.1142/S0129183193000379

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