Explore the infinite fractals of math, computer science, and more! As one looks deeper into science, everything becomes increasingly complex and interesting, just like a fractal. The simple ideas of multiplication and addition reveal endless complexity in the Mandelbrot set .

Mandelbrot Viewer- The Mandelbrot set is drawn in real time using the GPU, with emulated double-precision so you can zoom to 1013.

This online tool generates cloud fractals using the diamond-square algorithm. The generated fractals are seamless textures, meaning that you can tile the image as a smooth repeating pattern. Change the random seed to get a new pattern. Click "Generate!" to re-draw the fractal.

Intuitive, easy-to-use Mandelbrot set viewer web app. Explore the famous fractal on mobile and desktop. Fast, high resolution Zoom, Nice color themes, Fullscreen, PNG export - Touch, Mouse and Keyboard interaction.

6 天之前 · The term "ice fractal" refers to a fractal (square, triangle, etc.) that is based on a simple generating motif. The above plots show the ice triangle, antitriangle, square, and antisquare. The base curves and motifs for the fractals illustrated above are shown below.

This utility lets you draw cool and frosty ice fractals. You are offered five customizable variants of this fractal – two single spike forms, one double spike form, and two bent forms. Each of these types differ by the recursive segment generator (motif).

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2022年12月20日 · A new example of these mathematical oddities has been uncovered in a type of magnetic substance known as spin ice, and it could help us better understand how a quirky behavior called a magnetic monopole emerges from its unsettled structure.

Ice Fractals. These icy images are from the Mandelbrot set, at the bottom-left corner (near -0.4 - 0.64i). Click on an image to go there in the Fractal Viewer, where you can zoom and look around! Click on the download link under an image to save it to your computer. All of these images are free to use for any purpose, without attribution.

To fully graph a complex function w = f (z), which maps from ℂ → ℂ, it requires four dimensions. The input z has a real and imaginary part, and so does the output w. This approach is to slice through the real axis of the input, graphing the transformed imaginary lines of each slice.