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Can One Spiral Draw a Sphere?
Dimensions & topology

Can One Spiral Draw a Sphere?

BEHIND THE WORK

Can one spiral draw a sphere?

One point travels from the north pole to the south while circling the sphere nine times. The parametric equations x = sin t cos 18t, y = sin t sin 18t, and z = cos t keep every point exactly one unit from the center, so a single continuous line reveals the sphere.

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

Music: 'Moonlight Magic' by Asher Fulero

#MathArt #GenerativeArt #Mathematics

THE MATHEMATICAL RULE

x=sintcos18tx = sin t cos 18ty=sintsin18ty = sin t sin 18tz=cost,0≤t≤πz = cos t, 0 ≤ t ≤ π
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WATCH IT COME TO LIFE

Watch the drawing

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