Famous Fractals   

H-fractal

The H-fractal is an unusual example of a fractal canopie, in which the degree between neighboring line segments is 180 degrees. It can be formed very easily by starting with a line segment and drawing 2 shorter line segment that are at a right angle to it:

Interestingly, the final picture is a rectangle, which means that the H-fractal is a Peano curve. By using rectangles instead of line segments, the H-fractal can be turned into a different fractal, called the Mandelbrot Tree.

FRACTAL DIMENSION

Since we have seen that the H-fractal is a Peano curve, its fractal dimension must be 2.

LENGTH

At every iteration, the total length of the segments added is sqr(2) times larger than the total length of the previously added segments. After an infinite number of iterations, the total length becomes infinitely large.