Single Line Apollonian Gaskets for Fashion
Loe Feijs and Marina Toeters

Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture
Pages 119–126
Regular Papers

Abstract

We describe the design of single-line approximations and fractals based on the Apollonian gasket, which is the limit case of configurations of kissing circles. Rather than plotting the circles as discs on a differently colored background (the traditional representation), we explore strategies of drawing all circles as one line without lifting the pen and without crossing itself. We find various drawing strategies, having different aesthetic flavors. We apply fashion tech to design a garment, exploring the implications and potential of the new forms for fashion.

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