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Wonder Truth is a MetaBrot based on the distribution the orbits of 1 billion random points through repeated iterations of the polynomial - 0.5 z² - 0.3 z³ - 0.8 z⁴ - 0.9 z⁵

MetaBrot Collection collection image

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What happens if you combine the Mandelbrot iteration with some randomness? In the 1990s several authors tried to understand it by computing numerically the probability of belonging to the Mandelbrot set when choosing randomly the parameters. More precisely, starting from a 2-dimensional array of boxes, each corresponding to a final pixel in the image, a random sampling of points are iterated through the Mandelbrot function. After repeating the computation for a billion points, one obtains a density plot where the regions corresponding to points most likely to diverge to infinity under iteration are rendered. We add a little quirk: at each iteration step we take the complex conjugate, turning the polynomial into an anti-holomorphic function and de facto forcing the dynamics to be more symmetric than otherwise it would be

Art類別
合約地址0xa1ec...ce28
代幣 ID281
代幣標準ERC-721
區塊鏈Ethereum
創作者收益
5%

#281 Wonder Truth

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#281 Wonder Truth

  • 價格
    美元價格
    數量
    到期日
  • 價格
    美元價格
    數量
    底價差額
    到期日

Wonder Truth is a MetaBrot based on the distribution the orbits of 1 billion random points through repeated iterations of the polynomial - 0.5 z² - 0.3 z³ - 0.8 z⁴ - 0.9 z⁵

MetaBrot Collection collection image

SOLD-OUT

What happens if you combine the Mandelbrot iteration with some randomness? In the 1990s several authors tried to understand it by computing numerically the probability of belonging to the Mandelbrot set when choosing randomly the parameters. More precisely, starting from a 2-dimensional array of boxes, each corresponding to a final pixel in the image, a random sampling of points are iterated through the Mandelbrot function. After repeating the computation for a billion points, one obtains a density plot where the regions corresponding to points most likely to diverge to infinity under iteration are rendered. We add a little quirk: at each iteration step we take the complex conjugate, turning the polynomial into an anti-holomorphic function and de facto forcing the dynamics to be more symmetric than otherwise it would be

Art類別
合約地址0xa1ec...ce28
代幣 ID281
代幣標準ERC-721
區塊鏈Ethereum
創作者收益
5%
keyboard_arrow_down
活動
價格
日期