Fractals
From GenerativeArt
(Difference between revisions)
| + | ===Self-similarity=== | ||
Fractals are structures that exhibit self-similarity at all scales. Such self-similarity may be: | Fractals are structures that exhibit self-similarity at all scales. Such self-similarity may be: | ||
Images go here | Images go here | ||
| + | ===Occurrences of fractals=== | ||
Taken loosely, fractals can occur in a number of ways. For example: | Taken loosely, fractals can occur in a number of ways. For example: | ||
* In chaotic systems a phase diagram will exhibit fractal behavior about a strange attractor. (To be covered later). | * In chaotic systems a phase diagram will exhibit fractal behavior about a strange attractor. (To be covered later). | ||
| + | ===Fractals as recursive functions=== | ||
Fractals can be defined and generated by recursive functions. For example, take the factorial function: | Fractals can be defined and generated by recursive functions. For example, take the factorial function: | ||
:<var>5! = 5 * 4 * 3 * 2 * 1</var> | :<var>5! = 5 * 4 * 3 * 2 * 1</var> | ||
