Construction of candidate minimal-area space-filling partitions
- 1 November 1994
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine Letters
- Vol. 70 (5) , 351-356
- https://doi.org/10.1080/09500839408240998
Abstract
Weaire and Phelan have shown that Kelvin tetrakaidecahedra are not the minimal surface partition of smallest area into regions of equal area. We develop a simple construction based on the Kelvin and the Williams partitions that generates periodic or quasiperiodic three-dimensional partitions, which are candidates for further improvements in surface area. It is important to distinguish between minimal-area structures under conditions of equal volumes and equal pressures.Keywords
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