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panlives Inner circle 2087 Posts |
<<If you’re sharing a pizza with another person, there’s no need to cut it into precisely equal slices.
Make four cuts at equal angles through an arbitrary point and take alternate slices. You’ll both get the same amount of pizza. Also: If a pizza has thickness a and radius z, then its volume is pi z z a.>>
"Is there any point to which you would wish to draw my attention?"
"To the curious incident of the dog in the night-time." "The dog did nothing in the night-time." "That was the curious incident," remarked Sherlock Holmes. |
Scott Cram Inner circle 2678 Posts |
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hcs Special user Germany, Magdeburg 506 Posts |
Quest: Make three cuts and get 8 slices - how?
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Scott Cram Inner circle 2678 Posts |
Well, 8 is 2^3, so I'd guess by cutting the pizza in half, then putting 1 half on top of the other, cut that in half, and then repeating that process 2 more times (Although you don't really need to do the layering thing after the last cut).
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hcs Special user Germany, Magdeburg 506 Posts |
Well done.
Next quest: Make three cuts into a cake without putting 1 half on top of the other and get 8 slices - how? |
Scott Cram Inner circle 2678 Posts |
Make 2 cuts in the cake, as you would normally, resulting in 4 pieces. Make the 3rd cut horizontally, and you have 8 pieces, albeit with an unequal distribution of frosting.
;) |
TomasB Inner circle Sweden 1144 Posts |
How many pieces can you get at most from three non-curved cuts going from top to bottom of the cake? I think I can get at least 8 (maybe even 9 or 10) if I'm visualizing this correctly. Will have to try it for real or CAD this sucker.
/Tomas |
TomasB Inner circle Sweden 1144 Posts |
Two trials got me 8 pieces each by simply cutting from top to bottom. I think that's the limit.
/Tomas |
scalito Regular user 141 Posts |
We usually have our pizzas cut into 6 slices because we can't eat 8!!!!
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Mr. Mystoffelees Inner circle I haven't changed anyone's opinion in 3623 Posts |
OK, almost a year it took, but I had a good laugh...
Also known, when doing rope magic, as "Cordini"
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