Pythagorean Cup - Sneaky/Discreet (Column-free)

by Toasty3000, published

Pythagorean Cup - Sneaky/Discreet (Column-free) by Toasty3000 Dec 11, 2016
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977Views 303Downloads Found in Math Art


First, what is a Pythagorean Cup? In laymen's terms, it's a cup behaves normally until it's filled past a certain level, at which point it drains the entire contents out the bottom through a siphon tube.

For a more detailed explanation on its history and how it works, look at the wikipedia article on it, that provides a good summary.

Second, a Pythagorean Cup normally has a giveaway column in the middle of the cup, which contains the siphon tube. That's where this model is different.

I've created a cup that does the exact same thing, except the siphon tube is contained in the wall of the cup. I felt that the column rising through the center of the original design was somewhat distracting, and that the cup would be much cooler without the column.

Print Settings


Monoprice Select Mini


Doesn't Matter








If you choose to scale this model up or down in your slicer, I advise against scaling down, or the siphon tube might become too small to function. As it is, the total height of the cup is 4.45 inches.

Update 12/29/16:
The model is on the border of being too small. For better results, scale the model up by 1.2x on the horizontal axes (X & Y). Or if you wish, on the Z axis as well. I'm working with a small-volume printer, so I personally can't scale the Z axis any larger.

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if printing on side put something under the base of the cup.

works great, flipped vertical and it printed in ~10hrs. at 10% infill