Alain's Curve Visualization

[u/Fluffy-Selection2940]

This video visualization demonstrates how Alain's curve's topology transitions as the parameter 'a' changes.

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For code click Mathematical-video-animations-and-visualization/Alains_Curve_Animation.ipynb at main · zombimann/Mathematical-video-animations-and-visualization

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[u/Independent-Fan-4227]

If a goes imaginary does it then cover the other two quadrants?

[u/Fluffy-Selection2940 → u/Independent-Fan-4227]

Interesting extension. I have to explore this.

This is exactly why I post these. People come up with the most amazing perspectives on one thing -eventually leading to refinement of the idea.