Dappled tiling

July 20, 2016 ยท The Ethereal ยท ๐Ÿ› Mathematics in Industry

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Shizuo Kaji, Alexandre Derouet-Jourdan, Hiroyuki Ochiai arXiv ID 1607.06138 Category cs.DM: Discrete Mathematics Cross-listed cs.GR Citations 2 Venue Mathematics in Industry Last Checked 2 months ago
Abstract
We consider a certain tiling problem of a planar region in which there are no long horizontal or vertical strips consisting of copies of the same tile. Intuitively speaking, we would like to create a dappled pattern with two or more kinds of tiles. We give an efficient algorithm to turn any tiling into one satisfying the condition, and discuss its applications in texturing.
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