About

One written mark, the mathematics under it, and the code that draws it.

MrlyProd, Inc. has been Carlo Mitchener's company since 2013. The name started on a PlayStation account and a YouTube channel; the company is run from Brussels.

In 2017 the search was for a written mark that would collapse into a figurative one. What came out was a square on a 5x5 grid: 21 fills and 4 voids, the holes set in a cross. It is the next Sierpinski carpet after the classical one, and it was drawn before its author knew what a fractal was. The same rule generalises by dimension - a tree in one, a carpet in two, a sponge in three.

A primitive 5x5 font falls out of the mark. Every letter is drawn on the grid the logo lives on, which puts the complexity of the Latin alphabet in question. It sets the wordmark at the top of every page here. The font demo writes every glyph of it in its hand-penned stroke order, with the stroke count against the parity floor and a chip on any glyph that could be drawn in fewer.

MrlyMath is the study of designs on the corners of a cube grown by the Kronecker product. A code picks which corners are filled, the product grows the design one level at a time, and the rest - fills, voids, faces, slices, spectra, graphs, the integer sequences they write - follows from those two choices. The crates compute it, the demos draw it, the papers prove it.

This is the way. Why is the secret.

Questions, corrections and ideas: write to help@mrly.net.