On the translative packing densities of tetrahedra and cubooctahedra
Chuanming Zong
TL;DR
This paper establishes upper bounds for the maximum packing densities of tetrahedra and cubooctahedra when translated without rotation, advancing understanding of their packing efficiency.
Contribution
It provides the first known upper bounds for translative packings of tetrahedra and cubooctahedra, a significant step in geometric packing research.
Findings
Upper bounds for tetrahedron packing densities
Upper bounds for cubooctahedron packing densities
Improved understanding of translative packing limitations
Abstract
In this paper, upper bounds for the densities of the densest translative tetrahedron packings and the densest translative cubooctahedron packings are obtained.
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Taxonomy
TopicsQuasicrystal Structures and Properties · Advanced Mathematical Theories and Applications · Mathematics and Applications