Using tiling theory to generate angle weaves with beads

Autor:	Gwen L. Fisher, Blake Mellor
Rok vydání:	2012
Předmět:	Combinatorics Software_GENERAL Visual Arts and Performing Arts General Mathematics Trihexagonal tiling Thread (computing) Software_PROGRAMMINGTECHNIQUES Weaving Computer Graphics and Computer-Aided Design Rhombille tiling Mathematics
Zdroj:	Journal of Mathematics and the Arts. 6:141-158
ISSN:	1751-3480 1751-3472
DOI:	10.1080/17513472.2012.736935
Popis:	Tilings of the plane, especially periodic tilings, can be used as the basis for flat bead weaving patterns called angle weaves. We describe specific ways to create intricate and beautiful angle weaves from periodic tilings, by placing beads on or near the vertices or edges of a tiling and weaving them together with thread. We also introduce the notion of star tilings and their associated angle weaves. We organize the angle weaves that we create into several classes, and explore some of the relationships among them. We then use the results to design graphic illustrations of many layered patterns. Finally, we prove that every normal tiling induces an angle weave, providing many opportunities for further exploration.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6b09a8bb1eef673f27c80b2fc4741e7f https://doi.org/10.1080/17513472.2012.736935 Zobrazit plný text záznamu