Proceedings of Bridges 2025: Mathematics and the Arts
Pages 357–364
Regular Papers
Abstract
The use of halftone dots of cyan, magenta, yellow and black (CMYK) is ubiquitous in the printing of color images. An alternative technique with an engaging aesthetic makes use of a family of generalized Truchet tiles, created with the rule that each tile edge is divided into three segments of two alternating colors that also divide the tile face to create motifs that connect across tile boundaries. The motifs are bounded by straight lines and circular arcs and the members of the resulting tile family exhibits a range of area ratios for the two colors. A CMYK image is made with the tile set as follows: 1) an original color image is digitally processed to produce four CMYK color channel images, 2) for each color channel image, a mosaic is constructed by replacing groups of 2×2 pixels in the original image with a single tile, selected from the pool of available tiles according to both the local average and gradient of the color value, where 3) black on white tiles are used to create a mosaic for only the black (K) channel, while white on color is used for cyan (C), magenta (M) and yellow (Y) channel mosaics. As in conventional halftone color printing, the composite color mosaic image is constructed by overlaying the four individual color channel mosaics.