Complex Fibonacci Residues

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.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.