We’re all familiar with standard pizza slices - one center slice and two 45-degree cuts and you’re ready to party with 6 perfect slices. Throw in another cut and you’ve got 8.
But what if I told you that you can cut a pizza anywhere on its surface -- not just across its diameter -- and get a perfectly fair, shareable pizza for two people by assigning alternating slices? Prepare to witness the most delicious, unexpected presentation of mathematical beauty: a proof without words. And bring napkins.
** LINKS **
The Pizza Theorem
web.maths.unsw.edu.au/~mikeh/w...
Mathematics Magazine, Volume 41, 1968: "Problem 660" by L.J. Upton, Solution by Michael Goldberg: www.jstor.org/stable/2687962
Mathematics Magazine, Volume 67, 1994. "Proof without Words: Fair Allocation of a Pizza" by Larry Carter and Stan Wagon: www.jstor.org/stable/2690845
Dividing Thin Crust, Calzones, and Stuffed Crust Pizzas:
lsusmath.rickmabry.org/rmabry...
Exotic Mathematical Pizza Slicing: www.newscientist.com/article/...
Infinite Families Of Monohedral Disk Tilings: arxiv.org/pdf/1512.03794.pdf
Pizza Theorem Proof Without Words Calculator by Christian Lawson-Perfect: www.geogebra.org/m/C9kMuwj8
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5 июн 2018
