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Can 24 Gears Weave an Infinite Mandala?
Curves & geometry

Can 24 Gears Weave an Infinite Mandala?

BEHIND THE WORK

Can 24 rotating mathematical gears weave a sacred infinite mandala? By coupling counter-rotating complex Fourier epicycles into a 24-fold harmonic resonance, an intricate celestial astrolabe blooms in a single continuous stroke. A mesmerizing dance of pure mathematics with exact 0.000mm periodic closure.

Related Video: The Hidden Geometry of Kinematic Curves (https://youtu.be/ukPGsj29-Hg)

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

#MathArt #FourierTransform #SacredGeometry #Mandala #Epicycle #GenerativeArt #Mathematics #Blender3D #Shorts

THE MATHEMATICAL RULE

Base curve before framing\text{Base curve before framing}Z(t)=eit+0.44e−23it+0.28e25it+0.14e−47it+0.08e49itZ(t)=e^{it}+0.44e^{-23it}+0.28e^{25it}+0.14e^{-47it}+0.08e^{49it}(x,y,z)=(ℜZ(t),ℑZ(t),0),0≤t≤2π(x,y,z)=(\Re Z(t),\Im Z(t),0),\quad0\leq t\leq2\pi
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WATCH IT COME TO LIFE

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