Can 17 and 23 Weave a Vortex?

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Can 17 and 23 weave a vortex?

One point follows the complete parametric system a(t) = 4 + 2.8 cos(17t/3), x(t) = a(t) cos(t) + 0.8 cos(23t), and y(t) = a(t) sin(t) + 0.8 sin(23t), for 0 ≤ t ≤ 6π. The 17/3 radial wave repeatedly pulls the main orbit inward and pushes it outward, while the faster 23-frequency circle stitches smaller loops through every lobe. The mismatched rhythms close after three full revolutions, producing one continuous guilloche vortex.

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

Music: 'Amber' by VYEN

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