Essays & explanations
Mathematical stories developed through examples, visuals, computation and proof.
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.
An interactive common-lattice proof of Pythagoras’ theorem, with historical anchor positions from a medieval dissection to Perigal and beyond.
An interactive exposition connecting square kolam tiles, graph theory, Boolean satisfiability, exhaustive enumeration, and Burnside’s lemma.
