Louis H. Kauffman

collaborators

3 papers

math.GR2026

The Mereon System, the 600-Cell, and the Exceptional Algebras $E_{6}$ , $E_{7}$ , $E_{8}$ : Exact Correspondence via $H_{3} \subset H_{4}$ Symmetry and the Eigenform Loop

Robert W. Gray, Lynnclaire Dennis, Louis H. Kauffman

This work concerns how the three-dimensional polyhedral Mereon structure (the 120 polyhedron) is the precise projection from four-space of the 600-cell, an analogue in four-dimensi…

math.GT2026

The Penrose-Kauffman Polynomial

Louis H. Kauffman, Daniel S. Silver, Susan G. Williams

For any cubic graph in a closed orientable surface and a perfect matching, the Penrose-Kauffman polynomial is a sum of chromatic polynomials of a collection of associated graphs. A…

math.GT2025

Generalised Biracks and the Birack Polynomial Invariant

Andrew Bartholomew, Roger Fenn, Louis Kauffman

We generalise the finite biquandle colouring invariant to a polynomial invariant based on labelling a knot diagram with a finite birack that reduces to the biquandle colouring inva…

The Mereon System, the 600-Cell, and the Exceptional Algebras E6​, E7​, E8​: Exact Correspondence via H3​⊂H4​ Symmetry and the Eigenform Loop

The Penrose-Kauffman Polynomial

Generalised Biracks and the Birack Polynomial Invariant

The Mereon System, the 600-Cell, and the Exceptional Algebras $E_{6}$ , $E_{7}$ , $E_{8}$ : Exact Correspondence via $H_{3} \subset H_{4}$ Symmetry and the Eigenform Loop