What Happens When One Line Ties a 3D Figure-8?

BEHIND THE WORK

Can a single continuous line tie a true figure-eight knot in 3D space?

Governed by the 4_1 knot equations x(t) = (2.1 + 0.9 cos 2t) cos 3t, y(t) = (2.1 + 0.9 cos 2t) sin 3t, and z(t) = 1.4 sin(4t), a single luminous point traces an amphicheiral ribbon through four alternating crossings. Watch topology come alive as pure mathematics ties an infinite 3D figure-8 knot.

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

Music: 'Moonlight Magic' by Asher Fulero

#MathArt #Topology #Geometry #3DArt #SacredGeometry