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Can One Equation Grow a Chrysanthemum?
曲線と幾何学

Can One Equation Grow a Chrysanthemum?

翻訳の準備中は英語の原文を表示しています。

作品について

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

作品を生み出す数式

r(t)=5[1+sin(11t/5)]r(t) = 5[1 + sin(11t/5)]−4sin4(17t/3) − 4 sin⁴(17t/3)⋅sin8[2cos(3t)−28t] · sin⁸[2 cos(3t) − 28t]x(t)=r(t)costx(t) = r(t) cos ty(t)=r(t)sinty(t) = r(t) sin t0≤t≤21π0 ≤ t ≤ 21π
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