perplexus.info :: Shapes : Dividing a donut

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)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2023-03-30 21:15:15
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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