(June 3, 2012 at 10:21 pm)Moros Synackaon Wrote:(June 3, 2012 at 12:29 pm)Tiberius Wrote: There's nothing wrong with proof by induction.
No one ever said that. Straw man.
He wants to see a solution in a particular fashion. Nothing that states all other solutions are incorrect or 'wrong' is written here.
Tobie shared his proof by induction with me by PM. A thing of beauty to be sure. As satisfying as anything else I've seen for this problem. So I agree, nothing at all wrong with induction.
Perhaps he'll consent to share it with us all soon. In the mean time, I usually ask exceptional middle school students to show me why every such construction must have three factors of 2 and one of 3, hence divisibility by 24. Some can account for the factor of 3 and two of the factors of 2. The third factor of 2 is usually the last to fall.
