Complex Fibonacci Residues
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The Fibonacci numbers are defined by the recurrence . The sequence is periodic for any moduli . Fibonacci numbers have been generalized to real and complex numbers. The plots show the norm, argument, real and imaginary parts modulo real numbers. A further generalization is to take the Fibonacci numbers modulo a complex number.
Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA
"Complex Fibonacci Residues"
Wolfram Demonstrations Project
Published: March 7 2011