18 citations · 36 across the 8 of their papers we have counts for
Showing 2025Show all
2 papers · 1 filter
cs.CG2025
Higher-order, generically complete, continuous, and polynomial-time isometry invariants of periodic sets
Daniel E Widdowson, Vitaliy A Kurlin
Periodic point sets model all solid crystalline materials (crystals) whose atoms can be considered zero-sized points with or without atomic types. This paper addresses the fundamen…
math.MG2025
Continuous invariant-based asymmetries of periodic crystals quantify deviations from higher symmetry
Surya Majumder, Daniel Widdowson, Yury Elkin +4
Ideal symmetry is known to break down under almost any noise. One measure of asymmetry in a periodic crystal is the relative multiplicity Z' of geometrically non-equivalent units.…