Born in Warsaw, Poland, in 1924, the improbably named Benoît B Mandelbröt – the ”B” stands for a non-existent middle name – would be so important to the story of fractal geometry that he pretty ...

Continue ad infinitum. The von Koch curve has infinite length (even though it is contained inside a region of finite area). The christmas tree fractal. (Larger view: white on black, black on white .) ...

If the above-pictured shapes look familiar, it’s because you can’t visit Thingiverse without tripping over one of several designs, all based on a fractal better known as the Koch snowflake.

(1) Make sketches of the Cantor set and the von Koch curve and indicate on your sketch the regions ... (Note that each iteration of the IFS - if you were drawing the fractal by iterating the IFS - ...

Fractals are mathematical curves that are made up of ever smaller ... One straightforward but still fascinating fractal is the Koch snowflake. To build your own, start with a straight line.