1. GENERAL INFORMATION


   

    

 MATLAB is a
very powerful package which allows to manipulate simultaneously:  

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   VECTORS and MATRICES

  

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   COMPLEX FUNCTIONS of COMPLEX VARIABLES

  

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   DENSITY PLOTS and 3D PLOTS thanks to pcolor and mesh instructions.

  

 Moreover it allows recursion in calculating functions.

  

 Therefore it proves to be an ideal tool to study FRACTALS generated
 by iteration of COMPLEX VARIABLES FUNCTIONS, like MANDELBROT and JULIA sets.

  

  
  

  

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   THE HARDWARE ENVIRONMENT.

  

 The images we present have been generated by MATLAB starting
 from SCRIPTS of few rows on a Sun Spark 10 workstation.

  

 
  

  

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   THE SPEED OF GENERATION

  

 Each image takes only FEW MINUTES of machine time to be generated,
 since MATLAB works simultaneously with the all the elements of the matrix
 involving the coordinates of the pixels which is created by the function
meshgrid.

  

  
  

  

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   PLOTS AND SCRIPTS

  

 Each plot is presented in the form of a clickable image and it is
accompanied by the text of the MATLAB SCRIPT by which it has been generated.
 

  

   
   

 

  

 

  

 

INDEX

  

  

 

  

    
      
  
     
    
    
  1.   Back to "FRACTALS WITH  MATLAB"
        
    
     
    
    
    2. 
    
  2.   Decorations with MATLAB        
    
     
    
    
    3. 
    
  3.   Mandelbrot sets with MATLAB    
    
    
     
    
    
    4. 
    
  4.   Julia sets with MATLAB         
    
     
    
    
    5. 
    
  5.   Newton's method sets with MATLAB
       
    
     
    
    
    6. 
    
  6.   zz.gif
   sets with MATLAB         
    
     
    
    
    7. 
    
  7.   3D fractals with MATLAB
    8. 
  


  

 
  

  

 
  

  

  

  


  

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     FRACTAL GALLERY

  

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