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Sphericons and D-forms: a crocheted connection

Authors :
Seaton, Katherine A.
Source :
Journal of Mathematics and the Arts, 11:4,2017, pp.187-202
Publication Year :
2016

Abstract

Sphericons and D-forms are 3D objects created and described by artists, which have separately received attention in the mathematical literature in the last 15 or so years. The attempt to classify a seamed, crocheted form geometrically led to the observation, which appears not to have been previously made explicit, that these objects are related. General results concerning $(N,k)$-icons and seam-, D- and pita-forms are given. Instructions to crochet D-forms are given in the Appendix.<br />Comment: 11 pages, 12 figures; submitted to Journal of Mathematics and the Arts; Revised version uploaded June 15, 2016 Revised version of Jan 6, 2017 contains 17 figures and 14 pages; Further revision (as accepted by Journal) uploaded March 2017

Details

Database :
arXiv
Journal :
Journal of Mathematics and the Arts, 11:4,2017, pp.187-202
Publication Type :
Report
Accession number :
edsarx.1603.08409
Document Type :
Working Paper
Full Text :
https://doi.org/10.1080/17513472.2017.1318512