Here is a recreational .nod file to create Mutual Pursuit Curves for your favorite creatures, one of which is located at each corner of a regular polygon.
Each creature "chases" the creature located counterclockwise.
After creating the curves with nodeeditor, switch to regular MoI entry. Then LineWeb can be used on each pair of curves, to create geometric patterns.
Tiling the patterns makes interesting graphics. Planar colors is another option.
(I may do a logarithmic array of points on a line/curve, and/or a logarithmic or geometric series of points for LineWeb.)
The inner ends of the curves can form a mini polygon. The origin is a limit. The curves are some sort of log curves.
- Brian
The main link, which shows several patterns, is: https://www.mathcurve.com/courbes2d.gb/poursuite/poursuitemutuelle.shtml
The equations used were from the linked German site: https://did.mat.uni-bayreuth.de/material/verfolgung/node5.html
Translation can be done in Chrome browser.
Translation can also be done in the Windows 10 Microsoft Edge, but it is necessary to install the free Microsoft Edge translate app. (Fairly easy to do and enable.)
(The various equations on different sites are fairly obtuse to understand.)
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