12 citations · 21 across the 4 of their papers we have counts for
4 papers
A complete and continuous map of the Lattice Isometry Space for all 3-dimensional lattices
Matthew Bright, Andrew I Cooper, Vitaliy Kurlin
This paper extends the recently obtained complete and continuous map of the Lattice Isometry Space (LISP) to the practical case of dimension 3. A periodic 3-dimensional lattice is…
Geographic-style maps for 2-dimensional lattices
Matthew Bright, Andrew I Cooper, Vitaliy Kurlin
This paper develops geographic-style maps containing 2D lattices in all known crystals parameterised by recent complete invariants. Motivated by rigid crystal structures, lattices…
A Proof of the Invariant Based Formula for the Linking Number and its Asymptotic Behaviour
Matt Bright, Olga Anosova, Vitaliy Kurlin
In 1833 Gauss defined the linking number of two disjoint curves in 3-space. For open curves this double integral over the parameterised curves is real-valued and invariant modulo r…
Encoding and Topological Computation on Textiles
Matt Bright, Vitaliy Kurlin
A textile structure is a periodic arrangement of threads in the thickened plane. A topological classification of textile structures is harder than for classical knots and links tha…