Crooked Wallpaper Robert J. MacG. Dawson Abstract A well-known tiling of the plane with rectangles is used as the basis of a protocol to store and transmit periodic bitmaps whose period vectors are not aligned with the screen raster axes. Some related results are presented, including an algorithm to find all choices for the dimensions of the rectangles. Keywords: periodic tiling, rectangle, wallpaper, bitmap, parallellogram, Euclid's algorithm AMS subject classification: 52C05