# Monthly Archives: May 2018

## Tutorial 3 – Möbius tangent and vortex filament flow

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 \(\gamma\colon \mathbb Z/n\mathbb Z \to \mathbb R^3\) we mean the continuous solution of an equation\[\dot\gamma … Continue reading

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## Tutorial 2 – Frames and tubes

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

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