The Abulafia Graph

Defensive publication and declaration of priority. To Abraham Abulafia's permutational order — the tserouf, the combinatorial traversal of the letters at the heart of ecstatic Kabbalah — this work associates the modern combinatorial structure of the Zaks Hamiltonian cycle (1984) on the pancake graph. The author establishes that Abulafia's procedure, as set out in his Or ha-Sekhel, generates exactly the same sequence of permutations as Zaks's cycle, for any number of letters n. Placing each permutation on a circle by its Zaks rank and connecting each word to its full reversal, the accumulation of chords makes caustics emerge — smooth, self-similar, "mandalic" curves produced by a simple combinatorial rule. The document describes the construction, the geometric mechanism, the properties specific to Abulafia's order, and the aesthetic and commercial field of application of the discovery.