The kissing numbers of tetrahedra |
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Authors: | Chuanming Zong |
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Affiliation: | (1) Institut für Analysis, Technische Mathematik und Versicherungsmathematik, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria;(2) Institute of Mathematics, The Chinese Academy of Sciences, 100080 Beijing, People's Republic of China |
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Abstract: | We determine the lattice kissing numbers of tetrahedra, by which we disprove a conjecture by Grünbaum. At the same time, we present a strange phenomenon concerning kissing numbers and packing densities of tetrahedra. This article is based upon part of the author's Ph.D. thesis which was supported by the Austrian Academic Exchange Service. |
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