Socks and Puppets | website | Bluesky | @ahdok@ttrpg.network

TranscriptAn informational diagram showing different (bad) ways to cut a circular pizza.

  1. A grid cut, labelled “Tic-Tac-Toe”
  2. a regular 8-way cut, but the middle is very off center, labelled “Off-Center Inequality.”
  3. A six-slice cut where each cut is a sinusoidal curve, labelled “Apple Beachball”
  4. A spiral that goes all the way to the middle, labelled “Spiral Cut”
  5. Looks normal, but is labelled “Just draw the lines on with a sharpie”
  6. Regular shaped slices cut out of the middle of the pizza in random positions, labelled “Why”
  7. A side view, showing two long horizontal cuts through the entire disc, labelled “Layer Cake”
  8. Mostly diagonal lines splitting the pizza into shapes, labelled “Tangram”
  9. Two identical pizzas, labelled “Banach-Tarski”
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[–] 4 points 4 months ago (2 children)

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.

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  • [–] 2 points 4 months ago (1 child)

    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.

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