Lévy C: Copy; Rotate 90; shift new start to old end @MathVisualProofs
Lévy C: Copy; Rotate 90; shift new start to old end  @MathVisualProofs
Uploaded July 2026 | Updated September 2026, 2 weeks ago
Lévy C: Copy; Rotate 90; shift new start to old end

In this video, we show how to generate a fractal curve known as the Lévy C curve or Lévy Dragon by repeatedly copying, rotating and shifting, starting with a line segment. What happens if you do something similar with different rotations or different shifts?

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Check out these videos for related constructions:
youtu.be/rLxx6b-oJGo
youtu.be/NBI_5GdvqUo

This animation was inspired by an article written by Larry Riddle that appeared in the the November 2016 issue of Math Horizons:
doi.org/10.4169/mathhorizons.24.2.18

See more here (larryriddle.agnesscott.org/symmetricfractals.pdf) and on his website: larryriddle.agnesscott.org/ifs/levy/levy.htm

#levy #levydragon​ #math​​ #manim​ #animation​ #fractals

To learn more about animating with manim, check out:
https://manim.community
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Lévy C: Copy; Rotate 90; shift new start to old end

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