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A catalogue of isonemal fabrics. (English) Zbl 0569.51007

Discrete geometry and convexity, Proc. Conf., New York 1982, Ann. N.Y. Acad. Sci. 440, 279-298 (1985).
[For the entire collection see Zbl 0564.00011.]
From the authors introduction: ”Some problems in the geometry of fabrics are very challenging; that of determining the possible kinds of isonemal fabrics seems, at present, to be intractable by theoretical methods. In order to provide some data, we wrote a search program for the ICL 1904S computer at the University of East Anglia, Norwich, England, and here we report on some of the results obtained. In particular we determined all kinds of isonemal fabrics with periods up to 13, and information about these is given in Table 1. Due to restrictions on space we can illustrate all fabrics of periods up to and including 8; for larger periods we can show only a small number of kinds that seem to us to be visually attractive. In the last section of the paper we make some general comments about the results and state some open problems.”
Reviewer: C.Garner

MSC:

51M20 Polyhedra and polytopes; regular figures, division of spaces
51N05 Descriptive geometry
51-04 Software, source code, etc. for problems pertaining to geometry

Citations:

Zbl 0564.00011