The Peano curve is the first example of a space-filling curve, discovered by Giuseppe Peano in 1890. A line is drawn recursively through a 3x3 grid of squares from top left to bottom right (in our picture). On each iteration, a square is replaced by a smaller 3x3 grid, etc. In the original curve, a line only looks like a Z, or its horizontally/vertically mirrored version. (There are 8 ways due to rotation and flipping.) The Z can also be flipped diagonally, creating an upside-down N. In each of the 9 basic squares a choice can be made between Z and N. Of the 2^9 = 512 variants I choose the symmetrical one: ZNNNZNNNZ. Each square of the tessellation (without tiling deformations) is renderered with 4 half-flowers and a stem that follows the path of the Peano curve. So I made twelve square images to create the entire tessellation.
My training as a mathematician and my experience as a software programmer are the basic elements for designing my works of art. Since my retirement in 2019 I have started creating digital art with a mathematical slant. The works of M.C. Escher are a source of inspiration. Thanks to programs.. Read more…