Video Index
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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.