The Hat Tiling
I recently made up a few alternative colour palettes for Craig Kaplan's excellent Shadertoy applet, based on an idea by Labbé and Selinger. The main advantage of the application, is that the user can venture out to far away places in an instant, by inputting X,Y coordinates under GLOBAL_TRANSLATION. Changes to EDGE_THICKNESS of the hat, SCALE and TRANSLATION_SPEED of the animation, can be easily modified. There's also SHIFT_SPEED that reorganises some tiles within a patch (it's quite spectacular). Warning: input very small values between 0.01 and 0.05 for best results ( https://www.shadertoy.com/view/s3lGD7) The first set of eight colour palettes I created, were based on the numbering of hats from the paper (https://arxiv.org/pdf/2604.20964). Those to the right of the first image, use the same colours but have been exchanged: All other colour palettes below, are based on my modified version of Labbé and Selinger's numbering system. T...