14 Aug
2012
14 Aug
'12
9:16 a.m.
The best way to 'test' that a number actually is equal to phi is by drawing a Fibonacci sunflower. Altering the value of 1/phi by just 0.001 causes the sunflower's symmetry to break: Manipulate[ Graphics[Table[ Point[{Re[#], Im[#]} &[Sqrt[n] Exp[2 Pi I k n]]], {n, 1, 300}]], {{k, 0.618, "Reciprocal of phi"}, 0.610, 0.630, 0.001}] Sincerely, Adam P. Goucher