Julia Set

Construction of a Fractal Snowflake

A Koch snowflake is constructed by making progressive additions to a simple triangle. The additions are made by dividing the equilateral triangle’s sides into thirds, then creating a new triangle on each middle third. Thus, each frame shows more complexity, but every new triangle in the design looks exactly like the initial one. This reflection of the larger design in its smaller details is characteristic of all fractals.

Julia Set

The fractal shown here is the graphical representation of a mathematical function called the Julia set. The set is named after French mathematician Gaston Julia, who worked on the mathematics of fractals early in the 20th century, before the term “fractal” was coined by Polish-born French mathematition Benoit Mandelbrot in 1975. The pattern of the whole shape in a fractal repeats itself on smaller and smaller scales, so that magnifying a fractal produces a shape that is similar to the original.

Поиск по сайту: