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The Kinetic Rose Hidden Inside 4 Rolling Gears
Curves & geometry

The Kinetic Rose Hidden Inside 4 Rolling Gears

BEHIND THE WORK

How does a compound planetary gear train carve an intricate 24-petal blooming rose with zero human intervention? Governed by four meshing harmonic frequencies (omega = 1, -23, 73, -167), this kinetic tourbillon mechanism traces sun-gear rotations, satellite idlers, and precision escapement nodes in one continuous unbroken line with exact 0.000mm periodic closure.

Playlist: Kinematic Curves & Mechanical Linkages

Artismathic turns equations into visual art - one function at a time.

#MathArt #KinematicCurves #MechanicalLinkage #Tourbillon #Horology #Geometry #Mathematics #GenerativeArt #Blender3D #Shorts

THE MATHEMATICAL RULE

Base curve before framing\text{Base curve before framing}Z(t)=e2πit+0.72e−46πit+0.22e146πit+0.08e−334πitZ(t)=e^{2\pi it}+0.72e^{-46\pi it}+0.22e^{146\pi it}+0.08e^{-334\pi it}(x,y,z)=(ℜZ(t),ℑZ(t),0),0≤t≤1(x,y,z)=(\Re Z(t),\Im Z(t),0),\quad0\leq t\leq1
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WATCH IT COME TO LIFE

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