In this instructable I'm going to show you a simple way to make a Pythagorean cup. If you are looking for a cool peace of science, or would like to prank your friends, you came to the right place.
The special thing about this cup is that it can be used as a normal drinking cup as long as it is only filled with a certain amount of fluid. If a person is to greedy thought and fills it up to much, the entire content will empty through a hole in the bottom of the cup. It is named after the famous Ionian Greek philosopher Pythagoras of Samos (b. about 570 – d. about 495 BC), you might know him from the Pythagorean Theorem. I did a bit of research and found just as many sources saying that he did invent the cup, as ones saying that say he didn't.
So how does it work?
As you can see in the schematic on the left, there is a channel with an opening near the bottom of the glass running all the way through the stem to the base of it. As long as the fluid level stays under the inside loop of the cup, it can be used as normal. If too much liquid is filled into it though, a siphon is created and the whole glass empties.
Basically it works because the weight of the fluid flowing out reduces the pressure inside the tube so that the fluid is pushed into the channel by its own weight (Honestly this is not the entire truth, because a siphon also works in a vacuum, but enough to understand the effect. If you would like a more in-depth scientific explanation how siphons work, follow this link
If you are interested in finding out more about the cup take a look at the wikipedia
article and here are some great photos of someone making it out of clay
. By the way this is the first thing I will make should I be able to afford a 3D printer, since I would love to see a version with the siphon hidden in the handle or the side of the cup.