Lecture 2 video

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Video Index

  • Introduction to recursion and fractals
    Definition of recursion and recursive functions (function which calls itself), with the examples of factornial numbers and the Fibbonacci sequence.
  • Recursive Tree Function
    Modeling the branches of a tree using a recursive function.
  • Koch Curve
    Modeling shorelines as self similar fractals. Unexpected result of a shape with finite area, but infinite perimeter length.
  • Serpinski Triangle
    Another famous fractal example.
  • Fractal Fern
    Modeling a fern using a recursive function. Coordinate transformation.
  • Answers to student questions
    Answers to student questions on recursion.
  • Mandlebrot Set
    Equation that defines this famous fractal. Graphing the Mandlebrot Set, and zooming in on interesting features.
  • Recursion in music
    Discussion of recursive elements in music, with examples from J.S. Bach.

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