Proceedings: GI 2005

Islamic star patterns from polygons in contact

Craig Kaplan

Proceedings of Graphics Interface 2005: Victoria, British Columbia, Canada, 9 - 11 May 2005, 177-185

DOI 10.20380/GI2005.22

  • Bibtex

    @inproceedings{Kaplan:2005:10.20380/GI2005.22,
    author = {Kaplan, Craig},
    title = {Islamic star patterns from polygons in contact},
    booktitle = {Proceedings of Graphics Interface 2005},
    series = {GI 2005},
    year = {2005},
    issn = {0713-5424},
    isbn = {1-56881-265-5},
    location = {Victoria, British Columbia, Canada},
    pages = {177--185},
    numpages = {9},
    doi = {10.20380/GI2005.22},
    publisher = {Canadian Human-Computer Communications Society},
    address = {School of Computer Science, University of Waterloo, Waterloo, Ontario, Canada},
    }

Abstract

We present a simple method for rendering Islamic star patterns based on Hankin's "polygons-in-contact" technique. The method builds star patterns from a tiling of the plane and a small number of intuitive parameters. We show how this method can be adapted to construct Islamic designs reminiscent of Huff's parquet deformations. Finally, we introduce a geometric transformation on tilings that expands the range of patterns accessible using our method. This transformation simplifies construction techniques given in previous work, and clarifies previously unexplained relationships between certain classes of star patterns.