Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. How to define a spiral tiling?
 Mathematics magazine 90 (2017), No.1, pp.2638 ISSN: 19300980 ISSN: 0025570X 

 English 
 Journal Article 
 Fraunhofer SCAI () 
Abstract
A precise mathematical definition is given for spiral plane tilings. It is not restricted to monohedral tilings and is tested on a series of examples from the literature. Unwanted cases from regular tilings can be excluded. In case of one single arm a modified definition can be applied. Also the special case of locally infinite tilings with one singular point can be treated with any number of spiral arms. The question whether such a definition in mathematical terms could be given was posed by Grünbaum and Shephard in the late 1970s.