At the risk of getting completely geeky, it occurs to me that this is going to work with any three successive numbers in the Fibonacci sequence (e.g. rearranging an 8*21 rectangle into a 13*13 square) with the gap getting proportionately tinier and the “proof” more convincing as you climb the sequence. The Golden Section pops up again…
Dave
August 21, 2004 — 9:44 am
At the risk of getting completely geeky, it occurs to me that this is going to work with any three successive numbers in the Fibonacci sequence (e.g. rearranging an 8*21 rectangle into a 13*13 square) with the gap getting proportionately tinier and the “proof” more convincing as you climb the sequence. The Golden Section pops up again…
Kris
August 21, 2004 — 5:58 pm
Completely geeky, but brilliant nonetheless!