3 papers
math.DG2026
Stable configurations of entangled systems with repulsive interactions
Motoko Kotani, Hisashi Naito, Naoki Sakata +1
Entangled systems are prevalent in both biological and synthetic materials. This study examines the stable configurations of weaves consisting of two families of intertwined thread…
math.GT2024
Construction of weaving and polycatenane motifs from periodic tilings of the plane
Mizuki Fukuda, Motoko Kotani, Sonia Mahmoudi
Doubly periodic (DP) weaves and polycatenanes are complex entangled structures embedded in the Euclidean thickened plane, invariant under translations in two independent directions…
math.DG2024
A Weierstrass Representation Formula for Discrete Harmonic Surfaces
Motoko Kotani, Hisashi Naito
A discrete harmonic surface is a trivalent graph which satisfies the balancing condition in the 3-dimensional Euclidean space and achieves energy minimizing under local deformation…