Socks and Puppets | website | Bluesky | @ahdok@ttrpg.network
Transcript
An informational diagram showing different (bad) ways to cut a circular pizza.
- A grid cut, labelled “Tic-Tac-Toe”
- a regular 8-way cut, but the middle is very off center, labelled “Off-Center Inequality.”
- A six-slice cut where each cut is a sinusoidal curve, labelled “Apple Beachball”
- A spiral that goes all the way to the middle, labelled “Spiral Cut”
- Looks normal, but is labelled “Just draw the lines on with a sharpie”
- Regular shaped slices cut out of the middle of the pizza in random positions, labelled “Why”
- A side view, showing two long horizontal cuts through the entire disc, labelled “Layer Cake”
- Mostly diagonal lines splitting the pizza into shapes, labelled “Tangram”
- Two identical pizzas, labelled “Banach-Tarski”


I recall reading somewhere that if you cut the pizza using the “off-center inequality” method, then have four people each take a piece plus the one directly across from it they will all end up with an equal amount of pizza.
That doesn’t seem right. If you imagine moving the “off-centre” point towards the edge, then two of the slices will cover most of the pizza, so the remaining slices can’t add up to enough.
It would make a fun geogebra animation.
I was close, it’s two people not four:
https://youtu.be/SXgF57NWJgs