Research
The mathematics of the mrly tree: a parity rule on a cube, substituted into itself. These pages are the near-final findings. Every claim is tagged Proved, Verified, or Conjecture, every sequence was regenerated by two independent generators before it shipped, and every page survived an adversarial verification pass. The scripts, b-files, and run logs live in the lab.
Pages
- core — what a design is, and the headline counts.
- bijection — designs are Boolean functions up to cube
symmetry; the count is A000616. The strongest theorem.
- pi — pi recovered from the density of coprime points in the
stacked set.
- primes — the stack's moire is a Farey resonance diagram;
each scale n adds exactly phi(n) bright nodes.
- bases — what base 3 hides: an Eisenstein-lattice constant
inside base-3 arithmetic.
- sequences — the ledger: every sequence this project
has produced, with terms, formulas, and verification status.