The Fourier Series are gifs based on waveforms similar to Fourier series mathematical functions. Programs written in Processing generate and animate surfaces using combinations of sine and cosine waves. A wave frequency determines the number of forms within the frame. The wave amplitude is applied to the z axis placing each pixel forward or back in space. The phase changes with each frame, moving forms across the plane. The functions used are similar to a Fourier series in which sine and cosine functions are combined to approximate square, sawtooth, or triangle waves. In each of these examples the functions were modified to create new, irregular periodic forms.
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