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Three Rotations Build an Impossible Crest
Curves & geometry

Three Rotations Build an Impossible Crest

BEHIND THE WORK

Three rotations build a crest that never appears during the first turn.

The slow factor b(t) changes the main circle's size while frequencies 6 and 14 fold one moving point into interlocking corners and loops. The complete planar system is shown in the video.

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

Music: 'Exploring The Crystal Caves' by Asher Fulero

#MathArt #GenerativeArt #Mathematics

#MathArt #GenerativeArt #Mathematics

THE MATHEMATICAL RULE

b(t)=1+0.16cos(t/3)b(t) = 1 + 0.16 cos(t/3)x(t)=b(t)cost+0.52cos6tx(t) = b(t) cos t + 0.52 cos 6t+0.28sin14t + 0.28 sin 14ty(t)=b(t)sint+0.52sin6ty(t) = b(t) sin t + 0.52 sin 6t+0.28cos14t + 0.28 cos 14t0≤t≤6π0 ≤ t ≤ 6π
Watch the drawing↗

WATCH IT COME TO LIFE

Watch the drawing

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