2 papers
math.DG2023
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.GT2022
Classification of doubly periodic untwisted (p,q)-weaves by their crossing number
Mizuki Fukuda, Motoko Kotani, Sonia Mahmoudi
A weave is the lift to the Euclidean thickened plane of a set of infinitely many planar crossed geodesics, that can be characterized by a number of sets of threads describing the o…