The 7 Curve, Carpets, Quilts, and Other Asymmetric, Square-Filling, Threaded Tile Designs

Year: 2007 Authors: Douglas McKenna

Core claim

Corner-to-center asymmetric threading on square dissections produces many self-avoiding generators, with combinatorial counts varying sharply by order and offering aesthetic choice.

Topics

space-filling curves, square dissections, threaded tile designs, combinatorial enumeration

Domains

fractal geometry, combinatorics, tiling theory, self-avoiding paths, mathematical art, quilts, carpets, tile patterns

Methods

recursive generator construction, computer enumeration, uniform n×n dissections, visual pattern selection

Media

square tiles, giclée print, computer-generated images, tile designs

Source status

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