Single Line Apollonian Gaskets for Fashion

Loe M.G. Feijs; Marina J. Toeters

Single Line Apollonian Gaskets for Fashion

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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.

Original language	English
Title of host publication	25th Annual Bridges Conference 2022: Mathematics, Art, Music, Architecture, Cullture
Pages	119-126
Publication status	Published - Aug 2022
Event	25th Annual Bridges Conference 2022: Mathematics, Art, Music, Architecture, Cullture - Aalto University, Helsinki, Espoo, Finland Duration: 1 Aug 2022 → 5 Aug 2022 Conference number: 25 https://www.bridgesmathart.org/b2022/

Conference

Conference	25th Annual Bridges Conference 2022
Abbreviated title	Bridges MathArt
Country/Territory	Finland
City	Helsinki, Espoo
Period	1/08/22 → 5/08/22
Internet address	https://www.bridgesmathart.org/b2022/

Keywords

Math-art, fashion, fractal, apollonial

Access to Document

bridges2022-119Final published version, 7.39 MBLicence: Other

1 Working paper

Single line Apollonian gaskets: is the limit a space filling fractal curve?
Feijs, L. M. G., Apr 2022, CG ed., arXiv.org, p. 1, 7 p.
Research output: Working paper › Academic

Open Access
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Cite this

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title = "Single Line Apollonian Gaskets for Fashion",

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.",

keywords = "Math-art, fashion, fractal, apollonial",

author = "Feijs, \{Loe M.G.\} and Toeters, \{Marina J.\}",

year = "2022",

month = aug,

language = "English",

pages = "119--126",

booktitle = "25th Annual Bridges Conference 2022: Mathematics, Art, Music, Architecture, Cullture",

note = "25th Annual Bridges Conference 2022 : Mathematics, Art, Music, Architecture, Cullture, Bridges MathArt ; Conference date: 01-08-2022 Through 05-08-2022",

url = "https://www.bridgesmathart.org/b2022/",

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T1 - Single Line Apollonian Gaskets for Fashion

AU - Feijs, Loe M.G.

AU - Toeters, Marina J.

N1 - Conference code: 25

PY - 2022/8

Y1 - 2022/8

N2 - 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.

AB - 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.

KW - Math-art, fashion, fractal, apollonial

M3 - Conference contribution

SP - 119

EP - 126

BT - 25th Annual Bridges Conference 2022: Mathematics, Art, Music, Architecture, Cullture

T2 - 25th Annual Bridges Conference 2022

Y2 - 1 August 2022 through 5 August 2022

ER -

Single Line Apollonian Gaskets for Fashion

Abstract

Conference

Keywords

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Research output

Single line Apollonian gaskets: is the limit a space filling fractal curve?

Cite this