Simon came up with a tool (a circle where you install a pencil) to draw curved lines. He explains how the curved line actually draws the absolute value of the Sine function sin(x). “Because an absolute value of x is square root of x squared, that means that all negative values cancel out”, says Simon, that’s why the wave looks spiky.
Simon’s tool should probably be improved by making it from thicker material like thick cardboard.
Simon has created animations visualizing sound waves (Triangle, Sawtooth, Square and Sine waves) in Processing (Java), using wave functions.
These are the functions he used for the Sawtooth, Square and Sine waves:
Not to confuse “sine” with “sgn” (sgn standing for sign):
He was inspired by the logarithmic and power functions that he was studying during his math class yesterday. Simon was trying to draw both types of functions in Grapher on his laptop, but only succeeded for the power functions (because there were no subscript option for the logarithms).
Simon translated Daniel Shiffman’s Graphing 1D Perlin Noise tutorial into Processing (Java). The project involved combining perlin noise and sine wave:
He also attempted to translate Perlin Noise Flow Field into Processing: