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Into a circle: Generate a digital abstract artwork representing a sinusoidal rose curve, also known as a rhodonea curve. The design should feature intricate, symmetrical patterns created by plotting the polar equation
𝑟=sin(𝑘𝜃)
r=sin(kθ), where 𝑘k is a positive integer. Emphasize the wave-like petals formed by the sinusoidal function. Use a palette of vibrant colors against a contrasting dark background to highlight the mathematical beauty and symmetry of the rose curve. Ensure the design captures the elegance and precision of mathematical patterns.
成一个圆圈: 生成代表正弦玫瑰曲线的数字抽象艺术品,也称为rhodonea曲线。设计应具有通过绘制极坐标方程而创建的复杂,对称的图案
𝑟 = sin(𝑘𝜃)
r = sin(k θ),其中 𝑘 k是正整数。强调正弦函数形成的波浪状花瓣。在对比鲜明的深色背景下使用鲜艳的色彩调色板,以突出玫瑰曲线的数学美感和对称性。确保设计捕捉到数学模式的优雅和精确。
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