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 The Bun Problem (Posted on 2004-05-07)
Here is a good shape problem I heard about recently:

There are 3 buns with sprinkles on the top that 4 people want to share. The buns have a radius of 3 inches, 4 inches and 5 inches, and although the people know where the center of each bun is, they don't know anything else about the buns, and all they have is a knife to divide the buns.

What is the fewest number of pieces required to let each person have the same area of bun? (Note that each cut must be from top to bottom; horizontal cuts would result in uneven sprinkle distribution. The cuts don't need to be straight.)

 See The Solution Submitted by Gamer Rating: 2.0000 (5 votes)

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 Subject Author Date BELATEDLY late: - Solution posted pipped me at the Post brianjn 2004-06-14 03:27:31 a solution, hopefully kiki 2004-06-12 13:11:41 bun problem anne jackson 2004-05-29 15:14:32 re: Bun problem SilverKnight 2004-05-28 13:11:17 Bun problem David 2004-05-28 13:00:04 Ah Crumbs Shane 2004-05-28 10:13:11 re: possible solution rick rodine 2004-05-17 22:17:06 An Aside brianjn 2004-05-17 01:52:27 A 'Carefully' Measured Solution. brianjn 2004-05-16 04:34:06 The Problem with Sprinkling Spheres Jer 2004-05-10 10:24:45 re: Measure? brianjn 2004-05-09 23:54:22 re: Measure? Larry 2004-05-09 11:35:00 Measure? Gamer 2004-05-08 22:23:01 re: r^2 or r^3? Larry 2004-05-08 08:36:56 r^2 or r^3? ronen 2004-05-08 06:36:58 re(2): another thought brianjn 2004-05-08 00:36:32 Er, Pieces .. NOT .. cuts!! brianjn 2004-05-08 00:29:48 re: another thought Larry 2004-05-07 23:15:02 re(2): Less than three: Gamer 2004-05-07 21:21:03 re: Less than three: ThoughtProvoker 2004-05-07 19:45:33 Less than three: Gamer 2004-05-07 19:14:35 Variation: Gamer 2004-05-07 19:06:32 re: Three cuts ThoughtProvoker 2004-05-07 18:06:20 Three cuts Matt Sicking 2004-05-07 17:45:38 another thought ThoughtProvoker 2004-05-07 16:34:46 possible solution ThoughtProvoker 2004-05-07 16:04:47

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