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 Dividing a donut (Posted on 2005-04-23)
I want to divide the surface of a donut into as many different regions as possible. The regions can be any shape, as long as they are each in one piece. Each region must touch each of the other regions (touching on a corner doesn't count). How many regions can I make?

 See The Solution Submitted by Tristan Rating: 4.0000 (5 votes)

 Subject Author Date re(2): easy way to 7 armando 2005-05-01 12:47:33 Reply to the solution from Tristan Jonathan Chang 2005-04-28 02:22:51 Solution Jonathan Chang 2005-04-26 15:55:33 Solution - the 3rd way of approach Jonathan Chang 2005-04-26 15:46:10 Solution - complete Jonathan Chang 2005-04-26 15:38:37 Another simple way-please don't open-on process Jonathan Chang 2005-04-26 14:33:07 Solution is out- numerous regions by numerous cuttings Jonathan Chang 2005-04-26 13:54:51 Another Reference Richard 2005-04-26 09:06:46 re: easy way to 7 Hugo 2005-04-26 08:13:02 A Nice Reference Richard 2005-04-26 01:05:07 Solution- I still have to modify the picture Jonathan Chang 2005-04-25 18:03:42 Solution - complete Jonathan Chang 2005-04-25 17:40:16 The official solution Hugo 2005-04-25 17:07:25 Solution is on process-please don't open Jonathan Chang 2005-04-25 14:18:00 easy way to 7 armando 2005-04-25 13:25:06 Numerous Solutions & Numerous Ways of Cuttings Jonathan Chang 2005-04-25 01:14:32 re: An idea -- solution? (don't know if maximum is achieved) Charlie 2005-04-24 15:22:29 re(3): An idea -- solution? A solution Hugo 2005-04-24 14:50:28 Solution? Jonathan Chang 2005-04-23 23:52:30 Ultra brief Solution e.g. 2005-04-23 21:49:20 re(2): An idea -- solution? An idea Hugo 2005-04-23 21:40:04 re: An idea -- solution? (don't know if maximum is achieved) Tristan 2005-04-23 21:14:48 re(5): A seond step? Hugo 2005-04-23 20:54:34 re: An idea -- solution? (don't know if maximum is achieved) Hugo 2005-04-23 20:33:56 re(4): A seond step? Charlie 2005-04-23 20:32:40 An idea -- solution? (don't know if maximum is achieved) Charlie 2005-04-23 20:22:59 re(3): A seond step? Hugo 2005-04-23 20:21:15 re(2): A seond step? Charlie 2005-04-23 19:59:50 I give the wrong solution Jonathan Chang 2005-04-23 17:06:02 re: A seond step? Hugo 2005-04-23 16:01:34 Solution Jonathan Chang 2005-04-23 15:37:59 Solution Jonathan Chang 2005-04-23 15:37:56 A seond step? Hugo 2005-04-23 14:35:51 a beginning armando 2005-04-23 13:44:11

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