A journal and laboratory for mathematics
Articles, notes and interactive investigations that make mathematical ideas visible without sanding away their depth.
Latest publication 7 September 2026 · 2 active projects · 6 live interactives
Featured investigation
Begin with the published exposition, take the classroom investigation further, then build and move the tiles in the Lab.
Beginning with From Sixteen Tiles to Fifty-One Kolams, this investigation continues through the Kolam Tiles project hub.
Explore the investigationRecently published
Beginning with a chord-and-tangent proof for log x, we move the starting point and uncover a nested family of bounds for the normalized factorial.
An interactive tessellation proof of the law of cosines, organised over the two-dimensional moduli space of triangle shapes.
An expository graph-theoretic classification of triangular binary kolam tiles on an octahedron.
Study material
A geometric reading of row reduction: why RREF remembers the row space, how elimination moves through a pencil of lines, and what survives for arbitrary linear systems.
A classroom-ready investigation using binary tiles to explore local constraints, connectivity and sliding-puzzle invariants.
From the laboratory
Interactive investigations in which periodic patterns turn area identities into movable geometric proofs.
Binary kolam tiles on square boards and polyhedral surfaces: local matching, global connectivity, graph structure, symmetry, puzzles, and interactive constructions.
