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Hand drawn. Inspired by 3Blue1Brown’s But what is a Fourier Series? The trick to the game is to make a line drawing, but not lift the pencil from start to end - and not cross the path. Transform that single curve line drawing to its spectral equivalent, where each spectral point furnishes the size and initial angular position of a wheel, and whether the wheel rotates clockwise or counterclockwise. Except for the root, on the origin, the center of each wheel coincides with the end of the single radial spoke of the parent. Each wheel of the so-constituted wheels-within-wheels mechanism rotates at some integral multiple frequency of the root, that multiple coinciding with the wheel’s spectral coordinate. Clockwise or counterclockwise stems from whether the spectral point coordinate is above or below the Nyquist frequency. So positioned, the wheels-within-wheels ‘mechanism’ also draws the contiguous line when it is set in motion - the last wheel has a pen attached, rather than another wheel.
It is a lot of silly fun, draws the connection (literally) between the temporal and spectral domains - and was rendered with Python - not G’MIC
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Think I’m free for the rest of the day. Maybe I can finish the thought on this mosaic tiling game…