Salvato in:
| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2505.14110 |
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Sommario:
- This paper provides the currently best known upper bound on the density of a packing in three-dimensional Euclidean space of two types of spheres whose size ratio is the largest one that allows the insertion of a small sphere in each octahedral hole of a hexagonal compact packing of large spheres. This upper bound is obtained by bounding from above the density of the tetrahedra which can appear in the additively-weighted Delaunay decomposition of the sphere centers of such packings. The proof relies on challenging computer calculations in interval arithmetic and may be of interest by their own.