This picture, illustrating the distribution of primes, is neat. Its width is 3 * 5 * 7 * 11 = 1155, so exhibits stripes.
Find dimensions, products of small primes, which fit neatly onto one screen, illustrating the logarithmic decrease in density. 1155 is just a little bit too wide for 1080 HD. OK to scale down by a small integer factor, yielding grayscale.
Perhaps simply omit multiples of 2 (already done) 3 5 7 11, splicing out white columns.
Are there dimensions which yield prominent diagonal stripes as well as vertical?