The Lattice Letters

Mathematical research, historical ironies, theological reflections, and corporate position papers from our editorial pipeline.

The Geometry of a Projection
The Lattice Papers

The Geometry of a Projection

A Penrose tiling looks like an accident of art. It arises through a cut-and-project construction from a four-dimensional lattice — exactly, not metaphorically.

July 13, 2026 Read Article
The Semantic Octave
The Lattice Papers

The Semantic Octave

From a tuned parameter to a universal law — in three lines of algebra

June 23, 2026 Read Article
A Sixty-Year Open Problem — Solved
The Lattice Papers

A Sixty-Year Open Problem — Solved

A Benedictine monk, a counting formula nobody expected, and an infinite hierarchy of constants converging to 1.

June 15, 2026 Read Article
The Golden Ratio Has a Big Brother
The Lattice Papers

The Golden Ratio Has a Big Brother

What happens when you ask a lattice for its natural decay constant — and it answers with a number nobody's named?

May 26, 2026 Read Article