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.
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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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Zong, C. The kissing numbers of tetrahedra. Discrete Comput Geom 15, 239–252 (1996). https://doi.org/10.1007/BF02711493
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DOI: https://doi.org/10.1007/BF02711493