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Can Math Tie a Knot?
Dimensions & topology

Can Math Tie a Knot?

BEHIND THE WORK

Can math tie a knot?

This piece traces the trefoil knot using the complete parametric system x = (2 + cos 3t) cos 2t, y = (2 + cos 3t) sin 2t, and z = sin 3t. One continuous curve loops through three-dimensional space without crossing itself.

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

Music: 'Eternal Garden' by Dan Henig

#MathArt #Topology #GenerativeArt

THE MATHEMATICAL RULE

x=(2+cos3t)cos2tx = (2 + cos 3t) cos 2ty=(2+cos3t)sin2ty = (2 + cos 3t) sin 2tz=sin3tz = sin 3t
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WATCH IT COME TO LIFE

Watch the drawing

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