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On a Generalization of the Hermite Constant |
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| Authors: | Verger-Gaugry Jean-Louis |
| Affiliation: | (1) LTPCM, CNRS UMR 5614, INPG/UJF, Domaine Universitaire, BP 75, 38402 Saint Martin d'Hères, France;(2) Institut Fourier, UJF Grenoble - CNRS UMR 5582, Domaine Universitaire, BP 74, 38402 Saint Martin d'Hères, France |
| Abstract: | We report some results on the theory of quasiperiodic sphere packings controlled by a finite group G in the n-dimensional Euclidean space, constructed by means of an higher dimensional Euclidean space which contains G-invariant lattices. A generalization of the Hermite constant is used to find upper bounds of the density. |
| Keywords: | Quasiperiodic sphere packings density generalized Hermite constant quasicrystals |
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