Day 9 of the April 2013 AtoZ Challenge… enjoy…
I may have forgotten to mention my theme – it is fractals, fractal art, everything fractal up to and including my new book Fractal Dreams! Have a look around my pages and such to see lots more fractals. Also, every Friday I post a FridayFractalFeature (fff, for short) for all to enjoy! Thanks for stopping by and engaging in the A to Z 2013 Challenge! This is my FIRST ever, so I’m pretty excited! So every day I will post a fractal whose title starts with the letter of the day… and perhaps other things fractal related.
I is for….
Iterations – basically that means repetitions. When the mathematical function is submitted to the fractal generator, you can tell it how many times to repeat itself, using the previous result as the basis for the next iteration. This is, in fact, what makes a fractal a fractal. Depending on where the point stops for each iteration, various forms/shapes become visible. Generally, one uses iterations in the thousands to tens of thousands to infinity.
Inside – as the application makes these iterations, each point will be either INSIDE or outside the original fractal shape.The coloring of a fractal can be based upon whether points are inside (usually black) or outside (using many individual colors). The coloring, however is totally in the control of the person making the fractal. There are numerous formulae and gradients that one can use to actually “color” their fractal.
Infinity – a fractal can be set for an infinite number of iterations, or capped at certain levels. This choice is directly related to the shape and coloring of its fractal.
the fractal for I is: ICE QUEEN…
- Ice Queen is in my book, Fractal Dreams, which is available exclusively at RedmundPro.
#fractals #AtoZChallenge #bloghop
Disclaimer: I am NOT a mathematician, so please forgive the uneducated tone of my definitions. I am an artist, so I try to explain the math of fractals to the best of my (limited) ability.