I Turned 50 Math Shapes into Sound (Starting with Butterflies)

What do 50 mathematical shapes sound like when their motion becomes music? This visual sonification rebuild turns each curve into a synchronized audio-visual system. A single normalized parameter traces the shape on the left, draws its vertical waveform on the right, moves the matching tracer points, and drives the procedural soundtrack. A dynamic straight connector makes the relationship between the geometry and the waveform visible in every segment. The sequence begins with the most detailed patterns: Butterfly Curve, Polar Butterfly, gears, roses, Lissajous figures, and multi-loop hypotrochoids. Simpler polygons and conics are saved for the final section. There are 50 unique finite curves, each shown for 10 seconds, for a total runtime of 500.8 seconds. The soundtrack is original and procedurally generated for this rebuild. No narration. Just mathematical curves, synchronized motion, and original sound. Timestamps 00:00 Butterfly Curve 00:10 Polar Butterfly 00:20 Twenty-Tooth Gear 00:30 Nine-Petal Rose 00:40 Twelve-Tooth Gear 00:50 Lissajous 5:6 01:00 Five-Petal Rose 01:10 Lissajous 5:4 01:20 Four-Petal Rose 01:30 Seven-Loop Hypotrochoid 01:40 Five-Blade Pinwheel 01:50 Three-Petal Rose 02:00 Three-Leaf Clover 02:10 Epitrochoid 02:20 Lissajous Trefoil 02:30 Lissajous 3:2 02:40 Three-Loop Hypotrochoid 02:50 Archimedean Spiral 03:00 Trefoil Projection 03:10 Five-Point Star 03:20 Nephroid 03:30 Rotated Astroid 03:40 Astroid 03:50 Concave Cross 04:00 Rounded Four-Lobe 04:10 Double Bubble 04:20 Deep Limacon 04:30 Inner-Loop Limacon 04:40 Heart Curve 04:50 Fish Curve 05:00 Polar Heart 05:10 Concave Superellipse 05:20 Double Lemniscate 05:30 Folium Loop 05:40 Crescent Curve 05:50 Involute Fan 06:00 Gerono Lemniscate 06:10 Cardioid 06:20 Deltoid 06:30 Lemniscate of Bernoulli 06:40 Pointed Oval 06:50 Wide Trapezoid 07:00 Trapezoid 07:10 Tall Pentagon 07:20 Hexagon 07:30 Pentagon 07:40 Square 07:50 Ellipse 08:00 Circle 08:10 Triangle #MathArt #ProceduralMusic #MathematicalVisualization