Monthly Archives: May 2018

The goal of this post is to implement certain time-continuous flows on discrete space curves. By a time-continuous flow of a closed discrete space curve $\gamma :\mathbb{Z}/n\mathbb{Z}\to {\mathbb{R}}^3$ we mean the continuous solution of an equation\[\dot\gamma … Continue reading →

Under a discrete space curve $\gamma$ we understand a (finite or periodic) sequence ${\gamma }_i$ of points in ${\mathbb{R}}^3$. The $i$-th edge vector is then denoted by $e_i={\gamma }_{i+1}–{\gamma }_i$ and has length ${\ell }_i=|e_i|$. If \(\ell_i\neq … Continue reading →