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Can One Formula Grow a Crystal Flower?
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Can One Formula Grow a Crystal Flower?

翻訳の準備中は英語の原文を表示しています。

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Can one formula grow a crystal flower?

One point travels around the center as θ moves from 0 to 2π. The superformula s(θ) = [|cos(5θ/4)|¹·⁷ + |sin(5θ/4)|¹·⁷]⁻¹/⁰·²⁵ creates five broad crystalline points. The radius r(θ) = 5.2s(θ)[1 + 0.07 cos(31θ)] adds 31 fine ripples, and x(θ) = r(θ) cos(θ), y(θ) = r(θ) sin(θ) place the moving point on the screen. One continuous curve becomes a faceted flower.

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

Music: 'Moonlight Magic' by Asher Fulero

#MathArt #GenerativeArt #Mathematics

作品を生み出す数式

s(θ)=[∣cos(5θ/4)∣1⋅7+∣sin(5θ/4)∣1⋅7]−1/0⋅25s(θ) = [|cos(5θ/4)|¹·⁷ + |sin(5θ/4)|¹·⁷]⁻¹/⁰·²⁵r(θ)=5.2s(θ)[1+0.07cos(31θ)]r(θ) = 5.2s(θ)[1 + 0.07 cos(31θ)]x(θ)=r(θ)cos(θ)x(θ) = r(θ) cos(θ)y(θ)=r(θ)sin(θ),0≤θ≤2πy(θ) = r(θ) sin(θ), 0 ≤ θ ≤ 2π
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