Date: Mar 5, 2014 7:04 PM
Author: stumblin' in
Subject: Re: 4 colors problem
Oh I think I found the solution.

This time everything leads to right answer.

There is a unit pattern more fundamental than the original one.

Instead of,

a b c d

c d a b

Use,

a b

c d

Follow the same rule for coloring more countries

a b a b a b

c d c d c d

b a b

c d c d

c d

a b <-- unit pattern

c d <-- unit pattern

a b

c d

This works flawlessly even with a country whose horizontal length is bigger than others on the map.

In the process of disproving a theorem I became a complete believer.

The theorem was proposed during the time when there was no computer.

The (modified and simplified) theorem is proved without using a computer.