Congradulation Daniele Lenzi you win
Category: Dave Van Ess
Wednesday, March 25, 2009 09:38Daniele Lenzi was the first to answer correctly and so he wins the prize. e-mail me your address and I will send your prize. (dwv@cypress.com)
Yes the answer was that the equation generates the fibonacci sequence. And vishal was also correct that it used the golden ratio (Phi). You cab have something too.
Phi =(1+sqrt(5))/2
There are four different interest values values that show up repeatedly in nature. ( Pi, e, i, Phi)
Three of them can be combined into the following equation:
e^(i*pi) = -1
Does anyone know of an equation that ties together all four?
Wednesday, March 25 at 11:34 (GMT -8:00)
φ=1-(e^(-i3π/5) +e^(i3π/5))
or
φ=e^2iπ-(e^(-i3π/5) +e^(i3π/5))
Friday, March 27 at 07:33 (GMT -8:00)
'Homogeneous' way:
φ*0=1+e^-(i*pi)
Wednesday, April 8 at 07:29 (GMT -8:00)
2e^(i*Pi/5) = Phi + i * sqrt(3 - Phi)
Wednesday, April 22 at 13:04 (GMT -8:00)
how abt this??
phi^2 + phi*e^(i*pi) - 1 =0
Wednesday, April 22 at 20:29 (GMT -8:00)
or
phi^2 + e^(i*pi) = phi
Friday, May 1 at 14:25 (GMT -8:00)
yes. express 1 as -e^(i*pi) and you get:
Phi=(-e^(i*pi)+sqrt(5))/2
Friday, November 20 at 19:33 (GMT -8:00)
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