1 citations · 1 across the 6 of their papers we have counts for
6 papers
The Plateau Problem of Michell Trusses and Orthogonality in Springs
Chengcheng Yang
Given finitely many pointed forces in the plane. Suppose that these forces sum up to zero and their net torques also sum up to zero. One can show that there exists a system of spri…
Michell Truss and From 1-beam to k-beam
Chengcheng Yang
This paper generalizes the Michell Truss problem and Gangbo's paper from 1-dimension to higher dimensions using geometric measure theory. Given an elastic surface made of $(k-1…
Geodesics in 3-dimensional Euclidean Space with One or Two Analytic Obstacles
Chengcheng Yang
In many singular metric spaces, the regularity of a shortest-length curve is unknown. Algebraic varieties, or more generally sets defined by finitely many polynomial or real analyt…
A Geodesic Stratification of Two-dimensional Semi-algebraic Sets
Chengcheng Yang
Given any arbitrary semi-algebraic set , any two points in may be joined by a piecewise path of shortest length. Suppose is a semi-algebraic stratifi…
A Problem of Erdös Concerning Lattice Cubes
Chengcheng Yang
This paper studies a problem of Erdös concerning lattice cubes. Given an lattice cube, we want to find the maximum number of vertices one can select so that n…
A triangulation of semi-algebraic sets concerning an analytical condition for shortest-length curves
Chengcheng Yang
This paper concerns an analytical stratification question of real algebraic and semi-algebraic sets. For Whitney's stratification in 1957, it partitions a real algebraic set into p…