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MyMandelbrotSetCalculator

價格:免費

檔案大小:659.5 KB

版本需求:需要 iOS 8.0 或以上版本。與 iPhone、iPad 及 iPod touch 相容。

支援語言:英語

MyMandelbrotSetCalculator(圖1)-速報App

The image of Mandelbrot Set is one of the most famous fractal in mathematics,

and is generated as follows.

(1) Calculating the following recurrence formula for each pixel.

Zn+1 = Zn * Zn + c (n=0,1,2 ...)

MyMandelbrotSetCalculator(圖2)-速報App

Z0 = 0

(c: corresponding complex number for each pixel)

(2) Determine the color of this pixel based on its convergence for above calculation.

Especially you can find beautiful and mysterious images at more than1000x zoom

MyMandelbrotSetCalculator(圖3)-速報App

on the boundary of its initial image.

This app enables you to enjoy the image of Mandelbrot Set easily on your palm top

thanks to the computing power of ios devices.

Especially by executing above calculation for each zoom-in operation, same image quality

MyMandelbrotSetCalculator(圖4)-速報App

is kept even for more than 1000x zoom.

You can also save your favorite image to Photos, and use this as wallpaper or t-shirts design.

MyMandelbrotSetCalculator(圖5)-速報App

支援平台:iPhone, iPad