Always fun and intriguing to see math equations come to life in this manner! Wheels within wheels and makes me think of the complex systems of epicycles that Ptolemy had to use to make his Earth Centered model of the Solar System jibe with Astronomical observations...
Fourier Series heading towards the square wave |
Fourier Series
The original source seems to be an excellent piece of Java Script created by Pierre Guilleminot... Fourier Series Visualization
A great video of Ptolemy's System...
An interesting sidelight on Ptolemy and his complicated epicycles is that this approach was the first step in the development of Fourier Analysis or the process of decomposing a periodic function into the sum of simple oscillating functions. Today Fourier Analysis has a vast range of engineering and scientific applications...
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