Difference between revisions of "Manuals/calci/FRACTAL"
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==Examples== | ==Examples== | ||
− | 1. | + | 1.10@FRACTAL |
+ | [[File:Fractal.png]] | ||
==See Also== | ==See Also== | ||
+ | *[[Manuals/calci/MANDELBROT | MANDELBROT ]] | ||
+ | *[[Manuals/calci/LISSAJOUS| LISSAJOUS ]] | ||
==References== | ==References== |
Revision as of 13:02, 12 September 2017
FRACTAL(Iterations,xmin,xmax,ymin,ymax,Width,Height,MandeliterFunction,Shades,CanvasId)
Description
- This function draws a fractal based on the given parameter(s).
Examples
FRACTAL(10)
|3,3,1..100..10|.$(FRACTAL)
Since function has lots of params FRACTAL(Iterations,xmin,xmax,ymin,ymax,Width,Height,MandeliterFunction,Shades,CanvasId) tries to combanatorially loop for |3,3,1..100..10|@FRACTAL which gives a different result. We can have more interesting version with more params by defining a new function.
Such as
fract:=FRACTAL(Iterations) fract ⩨; fract(|3,3,1..100..10|)
or
fract:=FRACTAL(Iterations) fract ⩨; fract(|3,3,1...1000|)
See Also
FRACTAL (Iterations,xmin,xmax,ymin,ymax,Width,Height,MandeliterFunction,Shades,CanvasId)
Description
- This function shows the fractal diagrams.
- Fractal is a curve or geometric figure, each part of which has the same statistical character as the whole.
- Fractals are useful in modeling structures such as eroded coastlines or snowflakes in which similar patterns recur at progressively smaller scales, and in describing partly random or chaotic phenomena such as crystal growth, fluid turbulence, and galaxy formation.
- Fractals are infinitely complex patterns that are self-similar across different scales.
- This property is called "self-similarity".
- Fractals form a never ending pattern, created by repeating a simple process over and over, in an ongoing feedback loop.
- The quality of the generated fractal improves with the accuracy used,as evident from the generated by example:10,100,1000@FRACTAL