Simulation of Pythagorean Cup

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In order to keep his students from drinking too much wine, Pythagoras is said to have constructed what is known as a Pythagorean cup. The fluid in the wine glass behaves normally unless its level reaches the bend of the U-shaped tube. When this happens, the U-shaped tube becomes a siphon and, in accordance with Pascal's law of communicating vessels, the entire contents of the cup is then emptied.

Contributed by: Ryan Lin (February 2018)
Open content licensed under CC BY-NC-SA


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Details

This was a project for Advanced Topics in Mathematics II, 2017–2018, Torrey Pines High School, San Diego, CA.

Reference

[1] Wikipedia. "Pythagorean Cup." (Feb 12, 2018) wikipedia.org/wiki/Pythagorean_cup.



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