A fractal spirograph formed by nested circles that roll around each other recursively. A pen fixed to the smallest circle tra ces a self-similar path, gradually building intricate branching arms into a symmetric multi-pointed star.
Cliff Pickover

Jul 26, 2026 路 3:44 PM UTC

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Replying to @matheorems
Spirograph! But for adults. I didn鈥檛 realize how playing with that as a kid taught me to analyze complex interactions. I had good parents! 馃懌 Apparently you did too! Nice work.
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Replying to @matheorems
Perfect representation of how the golden mean can distribute amongst the patterns within organic and inorganic material on earth.
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Replying to @matheorems
I don't see that "recursively" is the right word for what's being done.
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Replying to @matheorems
Pourquoi Pi serait la porte des lionnes 脿 Mycenes ?
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Replying to @matheorems
What kind of fractal shape will be formed at the end must depend on the relative rotation speed of each circle, isnt't it? Is there some easy to change and run a code to play with it a little?
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Replying to @matheorems
Thanks Will include in the next edition of Geometry Links geometrylinks.blogspot.com also a listserv
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Replying to @matheorems
Wow 馃く
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