Difference between revisions of "Manuals/calci/FRACTAL"

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<div style="font-size:30px">'''FRACTAL(Iterations,xmin,xmax,ymin,ymax,Width,Height,MandeliterFunction,Shades,CanvasId)'''</div><br/>
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<div style="font-size:25px">'''FRACTAL (Iterations,xmin,xmax,ymin,ymax,Width,Height,MandeliterFunction,Shades,CanvasId) '''</div><br/>
  
  
 
==Description==
 
==Description==
*This function draws a fractal based on the given parameter(s).
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*This function shows the fractal diagrams based on the parameters.
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*Fractal is a curve or geometric figure, each part of which has the same statistical character as the whole.
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*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".
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*Fractals form a never ending pattern, created by repeating a simple process over and over, in an ongoing feedback loop.
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*The quality of the generated fractal improves with the accuracy used,as evident from the generated by example:[[10,100,1000]]@FRACTAL
  
 
==Examples==
 
==Examples==
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1.10@FRACTAL
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[[File:Fractal.png]]
  
FRACTAL(10)
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2.1000@FRACTAL
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[[File:Fractal1.png]]
  
|3,3,1..100..10|.$(FRACTAL)
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==Related Videos==
  
Since function has lots of params FRACTAL(Iterations,xmin,xmax,ymin,ymax,Width,Height,MandeliterFunction,Shades,CanvasId)
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{{#ev:youtube|v=azBNsPa1WC4|280|center|Fractal}}
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==
 
==See Also==
*[[Manuals/calci/TRIANGLE| TRIANGLE]]
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*[[Manuals/calci/MANDELBROT | MANDELBROT ]]
*[[Manuals/calci/HYPOTENUSE| HYPOTENUSE]]
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*[[Manuals/calci/LISSAJOUS| LISSAJOUS ]]
 
 
 
 
  
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==References==
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*[https://en.wikipedia.org/wiki/Fractal Fractal]
  
 
*[[Z_API_Functions | List of Main Z Functions]]
 
*[[Z_API_Functions | List of Main Z Functions]]
  
 
*[[ Z3 |  Z3 home ]]
 
*[[ Z3 |  Z3 home ]]

Latest revision as of 14:51, 28 February 2019

FRACTAL (Iterations,xmin,xmax,ymin,ymax,Width,Height,MandeliterFunction,Shades,CanvasId)



Description

  • This function shows the fractal diagrams based on the parameters.
  • 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

Examples

1.10@FRACTAL

Fractal.png

2.1000@FRACTAL

Fractal1.png

Related Videos

Fractal

See Also

References