Citation
D. Weaire et R. Phelan, A COUNTEREXAMPLE TO KELVIN CONJECTURE ON MINIMAL-SURFACES, Philosophical magazine letters, 69(2), 1994, pp. 107-110
Citations number
13
Categorie Soggetti
Physics, Condensed Matter
Journal title
ISSN journal
09500839
Volume
69
Issue
2
Year of publication
1994
Pages
107 - 110
Database
ISI
SICI code
0950-0839(1994)69:2<107:ACTKCO>2.0.ZU;2-Z
Abstract
Kelvin's conjecture, that a b.c.c. arrangement of his minimal tetrakai
decahedron divides space into equal cells of minimum surface area, has
stood for over one hundred years. We have found a counter-example, in
the form of a structure analogous to that of some clathrate compounds
and also related to the beta-tungsten structure. Its surface area is
approximately 0.3% less than that of Kelvin's structure.