The mathematics of designs on the corners of a cube, and the instruments that measure them.
Three doors
Latest papers
The Dirichlet Inverse of a Digit Design and the Transport of Zeros
the design's own Mobius function, and the zeros of its zeta that push its partial sums past the design's own size; still owes its outside read.
2026-09-07
The First Base Below a Quarter
the least base whose one-missing-digit set has Fourier l^1 exponent below a quarter, and the least base whose every digit clears.
2026-09-07
A Power Saving for Mobius Sums on Missing-Digit Integers, under GRH
under GRH, the Mobius function cancels by a power over the integers missing a digit, at every base from 3690 up.
2026-09-06
From the blog
Launching the site · 2026-09-02
One address for the demos, the papers and the research notes.
What is MrlyMath
A design is a rule on the corners of a cube: a code says which of the eight corners are filled. The Kronecker product grows that rule into itself, level by level, and the object it converges to is a fractal - the Sierpinski carpet and the Menger sponge are two of them.
Everything else is measurement. Count the fills, the voids and the exposed faces; cut the solid with a plane; join the filled cells into a graph and read its spectrum; collect the integer sequences the counts write down. The Rust crates do the arithmetic, the browser only paints, and a claim is either proved, checked over a stated finite domain, or labelled a conjecture.