But to a mathematician, it is a neat, neat subject area. Why are fractals important? Fractals help us study and understand important scientific concepts, such as the way bacteria grow, patterns in freezing water (snowflakes) and brain waves, for example. Their formulas have made possible many scientific breakthroughs.
Self-similarity.
Complex mathmatic equations.
Fractals are situations where the geometry seems best approximated by an infinitely "branching" sequence - used, for example, in modeling trees. For work on fractals that I have done as a theoretician, I recommend the included links. I just happen to have an original answer, and I want to make it known.
Fractals
But to a mathematician, it is a neat, neat subject area. Why are fractals important? Fractals help us study and understand important scientific concepts, such as the way bacteria grow, patterns in freezing water (snowflakes) and brain waves, for example. Their formulas have made possible many scientific breakthroughs.
Pi is a number. There are no fractals of pi.
Crystals are usually not fractals.
The Beauty of Fractals was created in 1986.
Some common techniques for generating fractals would be to use iterated function systems, strange attractors, escape-time fractals, and random fractals.
There are infinitely many fractals so no list can exist.
Fractals are used for computer generated terrains.
Fractals were discovered in 1975 by a scientist names Benoit Mandelbrot.
By their very nature fractals are infinite in extent.
The ISBN of The Beauty of Fractals is 0-387-15851-0.
No, they are not.
The cast of Fractals - 1991 includes: Farrah Forke