Metamagical Themas: Questing for the Essence of Mind and Pattern
Metamagical Themas: Questing for the Essence of Mind and Pattern
Mathematical Tools for Computer-Generated Ornamental Patterns
EP '98/RIDT '98 Proceedings of the 7th International Conference on Electronic Publishing, Held Jointly with the 4th International Conference on Raster Imaging and Digital Typography: Electronic Publishing, Artistic Imaging, and Digital Typography
Islamic star patterns in absolute geometry
ACM Transactions on Graphics (TOG)
A spectral approach to NPR packing
Proceedings of the 4th international symposium on Non-photorealistic animation and rendering
Tile-based methods for interactive applications
ACM SIGGRAPH 2008 classes
Interactive modeling of Muqarnas
Proceedings of the International Symposium on Computational Aesthetics in Graphics, Visualization, and Imaging
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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.