I Turned 50 Math Shapes into Sound (You Can Hear the Corners)
Math Aha Daily
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I Turned 50 Math Shapes into Sound (You Can Hear the Corners)
422 просмотра · 3 дн. назад
Math Aha Daily
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422 просмотра · 3 дн. назад
A dot runs around each shape at a constant speed. Its sideways position is the left speaker, its height is the right speaker, and the loop repeats 110 times a second. That's the whole rule, so every sound you hear is the shape itself.
Listen for the pattern: smooth curves sound pure, corners add a buzz, the ratios inside Lissajous figures and roses sound like musical intervals (3:2 is a perfect fifth), and fractals edge toward noise.
0:00 Circle, square, star, snowflake
0:14 50 shapes → sound
0:17 Smooth curves
2:22 Corners
4:37 Ratios
6:52 Fractals
8:57 All 50
How the sound is made: pure numpy synthesis from each outline. No samples, recordings or music. The only processing is removing the centre offset, band-limiting so nothing aliases (fractals get a gentler ceiling so they don't hurt on headphones), and one volume setting per shape so every shape is equally loud. Lissajous, rose and spirograph curves run on their own two-rotation clock; every other shape is traced at constant speed along its outline.
Headphones recommended: left and right carry different signals.
Which shape should I turn into sound next?
#math #sound #oscilloscope #fractals #geometry