Nodes Investigation
1) Is there a relationship between the number of matches used and the minimum Node Total that is possible?
2) Investigate the maximum Node Total that can be made with any number of matches.
3) Now investigate patterns of matches with no loose ends ( no 1 nodes) For example 3 matches can be arranged in just one way with a Node Total of 6.
How many different node totals are possible with 4 matches?
With 5 matches?
4) Is there a relationship between the maximum Node Total wiyh no loose ends and the number of matches?