One Rule Can Weave a 3D Spherical Star

BEHIND THE WORK

A single continuous line weaves a 3D spherical star.

Following a Clelia spherical spiral defined by x(t) = R cos(2.5t) cos(t), y(t) = R cos(2.5t) sin(t), and z(t) = R sin(2.5t), latitude and longitude lock into a perfect 5:2 resonance. As the luminous point journeys across the sphere, five symmetrical petals emerge, weaving a breathtaking 3D star cage directly on the spherical surface.

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

Music: 'Fire In The Sky' by Alex Jones & Xander Jones

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