& Rectify

The & Rectify gifs are based on waveforms similar to Fourier series mathematical functions. Programs written in Processing generate and animate surfaces using combinations of sine and cosine waves. Wave frequencies determine the number of forms within the frame. Wave amplitudes are applied to the z axis placing each pixel forward or back in space. The phase changes with each frame, moving some 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. Multiple functions are applied to each frame. Some forms remain static while others move. Ultimately, functions are combined at the pixel level. In each case two gifs were created, with one using a rectified version of the static forms. These rectified versions are identical to their corresponding gifs except that pixels in negative z space are flipped to positive values.