4 papers
Special cases of the discretization principle via permutability
Joseph Cho, Mason Pember, Wayne Rossman
We show how permutability of transforms of smooth surfaces with particular characteristics leads to discrete surfaces with discrete analogues of the same characteristics.
Ruled zero mean curvature surfaces in the three-dimensional light cone
Joseph Cho, Dami Lee, Wonjoo Lee +1
We obtain a complete classification of ruled zero mean curvature surfaces in the three-dimensional light cone. En route, we examine geodesics and screw motions in the space form, a…
Weierstrass representations of discrete constant mean curvature surfaces in isotropic space
Joseph Cho, Masaya Hara
In this paper, we obtain Weierstrass representations for discrete constant mean curvature surfaces in isotropic 3-space, and use this to construct examples with discrete closed-for…
Zero mean curvature surfaces in isotropic space with planar curvature lines
Joseph Cho, Masaya Hara
We give a comprehensive account of zero mean curvature surfaces in isotropic 3-space with planar curvature lines. After giving a complete classification all such surfaces, we show…