This array, which I have begun to colour, is the top part of a "Four Colour Map" with rows extending beyond the borders given.

The boundaries displayed in Rows 1 to 4 are repeated down the map, ie, Row 5 has the same boundaries as Row 1, but may be coloured differently.


In colouring this map no two regions of the same colour may have part of a border in common and a row pattern is repeated across the row.

Tasks:
1. At which row could I soonest expect to see the exact colouring and layout pattern of Row 1?

2. Suggest a topologically simpler and what probably is a more aesthetic geometric layout for the vertices of my map?

(In reply to Solution to Task 1 by Dej Mar)

Oh! Caught up with edits!
When building this I originally found what you suggested as the alternative. 

I asked levik to make amends; he substituted "may" for "will" in the second paragraph which takes away the doubt which you raised, my apologies.

Edited on July 9, 2008, 9:58 pm

Posted by brianjn on 2008-07-09 05:45:33