Divide Up Notes
on Investigation
Investigation 1
From this position it is possible to make all the possible ratios by moving just one match.
Investigation 2
Two matches placed like this allow all partitions to be made
Investigation 3
It is not possible. The triangle cannot be divided into the ratio 2:2:5
Investigation 4
15 different ratios can be created using this starting point. The following cannot
1:
These however can be done by moving two matches..
A better starting position has yet to be found. May be you can find one?