In:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, The Royal Society, Vol. 465, No. 2101 ( 2009-01-08), p. 219-238
Abstract:
The elegant properties of conformal mappings, when applied to two-dimensional lattices, find interesting applications in two-dimensional foams and other cellular or close-packed structures. In particular, the two-dimensional honeycomb (whose dual is the triangular lattice) may be transformed into various conformal patterns, which compare approximately to experimentally realizable two-dimensional foams. We review and extend the mathematical analysis of such transformations, with several illustrative examples. New results are adduced for the local curvature generated by the transformation.
Type of Medium:
Online Resource
ISSN:
1364-5021
,
1471-2946
DOI:
10.1098/rspa.2008.0260
Language:
English
Publisher:
The Royal Society
Publication Date:
2009
detail.hit.zdb_id:
209241-4
detail.hit.zdb_id:
1460987-3
SSG:
11
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