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?

This evening after 8 p.m., Singpapore time, I will provide the possible solutions that one could make numerous regions by cutting but not now.

Now I begin to look into different angles in the problem after a long time of thinking and analysing the cutting system that is recommended by Mr. Charles.  The table by Mr. Charles suddenly causes me to have a sudden inspiration that we could have numerous regions of the cutting.  I give thanks to the solution by Mr. Charles that gives me that inspiration.  You are really Mr. Genius.

Wait and you will see.

It surely attracts numerous attacks from people such as, from Gamer or etc.

But it is up to our interpretation of the question to give solutions.

I like people to argue with my recommendations if my recommendations have the shortfall. 

I am a person may be with IQ, 40.  Everybody would look at me and say, 'pui! pui!  You are very argumentative.  If you are thrown into the dustpin, nobody would like to see and pick it up!'

Yeh!  I am a free man!  I could talk and talk until my mouth is swollen and somebody brings me to hospital since I am argumentative.  Talk and talk until nobody visits me in the hospital.

Just joking.  But I am serious to provide the solutions today with numerous regions touch after the cutting.

Thanks You & best regards.

 

Edited on April 25, 2005, 1:16 am

Edited on April 25, 2005, 1:21 am

Posted by Jonathan Chang on 2005-04-25 01:14:32