Nested Powers of 2 Epicycloids (synthwave enumeration) @MathVisualProofs

Uploaded December 2024 | Updated September 2026, 2 weeks ago

This video shows the creation of nested epicycloids with powers of 2 cusps (starting with 2 cusps and ending with 256), generated at rates that are powers of 2. Then the image rotates 3 times before fading out.

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To learn more about epicycloids, check out the wikipedia site:

en.wikipedia.org/wiki/Epicycloid

For a hypocycloid version of this idea, see
youtu.be/DC8JlortDqE

For other hypocycloid videos, check these out:
youtu.be/gTsdoR2rqwk
youtu.be/5dwlLH0aqxs
youtu.be/VvX9bMUX-ic
youtu.be/1ctRFgWwg5E
youtube.com/shorts/skLikVz2JhA

#manim #epicycloid #spirograph #circle #rollingcircles #rational #count #mathvideo #math #mtbos #animation #iteachmath #mathematics #enumeration #synthwave

To learn more about animating with manim, check out:
https://manim.community

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Music in this video
Neon Drive by Ghostrifter Official | soundcloud.com/ghostrifter-official
Music promoted by free-stock-music.com
Creative Commons / Attribution-NoDerivs 3.0 Unported (CC BY-ND 3.0)
creativecommons.org/licenses/by-nd/3.0

Nested Powers of 2 Epicycloids (synthwave enumeration)

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