Interlocking Spiral Drawings Inspired by M. C. Escher's Print Whirlpools

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

1 Scopus Citations
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Author(s)

  • Peichang OUYANG
  • Krzysztof GDAWIEC
  • Alain NICOLAS
  • David BAILEY
  • Kwok Wai CHUNG

Related Research Unit(s)

Detail(s)

Original languageEnglish
Article number18
Journal / PublicationACM Transactions on Graphics
Volume42
Issue number2
Online published22 Nov 2022
Publication statusPublished - Apr 2023

Abstract

Whirlpools, by the Dutch graphic artist M. C. Escher, is a woodcut print in which fish interlock as a double spiral tessellation. Inspired by this print, in this article we extend the idea and present a general method to create Escher-like interlocking spiral drawings of N whirlpools. To this end, we first introduce an algorithm for constructing regular spiral tiling T. Then, we design a suitable spiral tiling T and use N copies of T to compose an interlocking spiral tiling K of N whirlpools. To create Escher-like drawings similar to the print, we next specify realization details of using wallpaper templates to decorate K. To enhance the aesthetic appeal, we propose several measures to minimize motif overlaps of the spiral drawings. Technologically, we develop algorithms for generating Escher-like drawings that can be implemented using shaders. The method established is thus able to generate a great variety of exotic Escher-like interlocking spiral drawings. © 2022 Association for Computing Machinery.

Research Area(s)

  • Escher art, Spiral, tiling

Citation Format(s)

Interlocking Spiral Drawings Inspired by M. C. Escher's Print Whirlpools. / OUYANG, Peichang; GDAWIEC, Krzysztof; NICOLAS, Alain et al.
In: ACM Transactions on Graphics, Vol. 42, No. 2, 18, 04.2023.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review