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Crumbling Block I


Materials and Methods: Crocheted with KnitPicks worsted Wool of the Andes
Designer & Artist: Jake Wildstrom
Year: 2013

This random tiling is inspired by the work of Jim Propp, who both developed a suitably uniform mixing algorithm for lozenge tilings and quantified the structural idiosyncrasies that appear at the corners. He showed that randomly selected hexagon tilings display certain structures with high probability. This depiction shows lozenges of identical orientation forming clusters in the corners of the hexagon. The unbroken sections in the corners suggest the unweathered surfaces of a block which has crumbled in a single corner, lending the piece its name.
The colors green, purple, and brown depict different lozenge orientations and the shades represent different heights. The meaning of the heights arises because lozenge tilings can be associated with 3-dimensional structures, such as the "Tumbling Block" pattern.


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