Short··0:36
What If Shapes Could Make Music?
About this video
What does a shape sound like? Four shapes morph through the first three seconds: knot, heart, toroidal curve, circle. The circle becomes a heart, folds back into a trefoil knot, and joins a four-part mathematical instrument.
The bright point selects notes from a C-minor pentatonic scale according to its height. Each note attack and visual pulse uses the same timing data. Camera motion and the layered ribbons are artistic presentation. The curves are sonified; these are not their natural physical resonances.
Geometry: circle; the parametric heart x=16 sin^3(theta), y=13 cos(theta)-5 cos(2theta)-2 cos(3theta)-cos(4theta), scaled and given a small depth offset; a scaled T(2,3) trefoil torus knot; and a five-petal T(1,5) toroidal curve (an unknot). This is classical geometry and does not claim a new OpenAI proof.
Mathematical references:
mathworld.wolfram.com/HeartCurve.html
mathworld.wolfram.com/TorusKnot.html
mathworld.wolfram.com/ParametricEquations.html
Original Three.js animation, composition and synthesized audio by Gradient Damage with AI-assisted production. No third-party music, samples or voice recording.
Mathematics you can see. Equations you can hear.
Transcript
54 words · from the uploaded captions
This is math singing. This shape makes music. Higher point = higher note. Change the shape. A circle becomes a heart. Now into 3D. A trefoil knot. More turns. More notes. A toroidal curve. Play them together. Four shapes. One original melody. Back to one shape. And it starts again. This is math singing.
Topics
math musicmath makes soundssonification3D animationparametric equationstrefoil knotGradient Damage
