Can One Equation Grow a Chrysanthemum?

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Can one equation grow a chrysanthemum?

One point follows the polar chrysanthemum curve. The first sine term makes the broad petal rhythm, while the fourth- and eighth-power sine terms cut smaller variations into the radius. Then x(t) = r(t) cos t and y(t) = r(t) sin t place that changing radius on screen for 0 ≤ t ≤ 21π. The result is one continuous planar trace whose petal sizes and folds keep changing instead of repeating one simple outline.

Curve attributed to Temple Fay; equation reference: https://paulbourke.net/geometry/chrysanthemum/

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

Music: 'Amber' by VYEN

#MathArt #GenerativeArt #ChrysanthemumCurve