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Lucas Vieira  
Diagrams and animations from a longtime contributor to Wikipedia's math and physics articles. Posts, which date back to February 2013 and feature graphics coded in POVRay and PHP, include "Experimenting with sound: the polygonal trigonometric functions rendered as audio," "FourierToy," "Drawing process for the sine function," "A very cool way of visualizing the conversion from Cartesian to polar coordinates," "The Fourier transform takes an input function f in the 'time domain' and converts it into a new function fhat in the 'frequency domain,'" "Franz Liszt  'Hungarian Rhapsody no. 2,'" "Completing the square," "Different modes of oscillation for a pendulum," "Easing functions are an immensely useful tool for animators," and "The familiar trigonometric functions can be geometrically derived from a circle. But what if, instead of the circle, we used a regular polygon?"  


Levels:  High School (912), College, Research 
Languages:  English 
Resource Types:  Graphics, Documents/Sketches/Galleries 
Math Topics:  Fourier Analysis/Wavelets, Geometry, PreCalculus, Music, Physics 
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