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Ball numbers of platonic bodies |
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| Authors: | Wolf-Dieter Richter Kay Schicker |
| Institution: | University of Rostock, Institute of Mathematics, Ulmenstraße 69, Haus 3, 18057 Rostock, Germany |
| Abstract: | The ball number function is extended here to platonic bodies and corresponding generalized uniform distributions on platonic spheres are considered. A platonic disintegration formula of the Lebesgue measure is proved as well as a thin layers property. |
| Keywords: | Platonically generalized radius Platonically generalized surface content Disintegration of Lebesgue measure Intersection percentage function Generalized method of indivisibles Platonically generalized uniform distribution |
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