Pump Up The Volume [1990] - Pixies Wave Of Mutilation (UK Surf version) 1  The film is well worth a watch but somewhat dated - Both this scene and the Pixies song has stuck in my mind for a very long time. 2  My favorite scene in the film.
A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale. It is also known as expanding symmetry or evolving symmetry. If the replication is exactly the same at every scale, it is called a self-similar pattern.
And when determining the dimension of the snowflake, we decided that the dimension of each line segment that makes up a fractal is the same as the dimension of the fractal itself. So for the capacity dimension of Cantor's dust, we can use P = 2 and S = 3:Just as expected, our result is between 0 and 1, somewhere between the dimension of a point and the dimension of a line. Georg Cantor invented this fractal to describe a set of numbers that he had defined, which is now called Cantor's set.It involves the unit interval in the ternary number system.s was stated in the fractal generation examples, this particular Lindenmayer fractal (shown above) is not so visually appealing but is mathematically interesting. This time, let's predict what type of value we will get for the capacity dimension of Cantor's dust.