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The Math Behind the Pop-up Spinner

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Title
The Math Behind the Pop-up Spinner
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13
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Release Date2021
LanguageEnglish

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Abstract
Pop-up books and cards have been around since the 18th century, and recently have seen a surge in popularity through the elaborate designs of pop-up masters like Robert Sabuda and Matthew Reinhart. But the most stunning and elegant pop-up effect I have encountered is the Pop-Up Spinner card invented by an anonymous Japanese student. How it functions turns out to depend on a geometric theorem concerning linkages proven in an undergraduate thesis. I will explain the connection and prove the theorem.
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