13 citations · 18 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
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…
Construction of continuum from a discrete surface by its iterated subdivisions
Motoko Kotani, Hisashi Naito, Chen Tao
Given a trivalent graph in the 3-dimensional Euclidean space, we call it a discrete surface because it has a tangent space at each vertex determined by its neighbor vertices. To ab…
A Discrete Surface Theory
Motoko Kotani, Hisashi Naito, Toshiaki Omori
In the present paper, we propose a new discrete surface theory on 3-valent embedded graphs in the 3-dimensional Euclidean space which are not necessarily discretization or approxim…