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