
Recent Posts
Recent Comments
Archives
 November 2017
 September 2017
 August 2017
 July 2017
 June 2017
 May 2017
 February 2017
 January 2017
 November 2016
 February 2014
 January 2014
 December 2013
 November 2013
 October 2013
 September 2013
 August 2013
 May 2013
 April 2013
 March 2013
 February 2013
 January 2013
 December 2012
 November 2012
 October 2012
 September 2012
 August 2012
 July 2012
 June 2012
 May 2012
 April 2012
Categories
Meta
Tag Archives: fractal design
Rainbow colors
We can define a continuous number x of iterations needed to reach the critical radius R. Note that if the nth iteration of f(z) equals R then x=n, and if the (n1)th iteration equals R then x=n1. For values inbetween … Continue reading
Posted in Fractals, programming, Selfsimilarity
Tagged Color, fractal, fractal design, Rotational symmetry
Leave a comment
Hints for experiments
You can modify the code of the last post “selfsimilar fractals … – the code” to produce new images. A large value for the imaginary part of the constant c often destroys the mirror symmetry and gives a more dynamic … Continue reading
Posted in Fractals, programming
Tagged fractal, fractal design, Rotational symmetry, Selfsimilarity
Leave a comment
selfsimilar fractals from function iteration – the code
// this reproduces the image of ” selfsimilar fractals with …” // you can make your own experiments, try the codes hidden as comments // this is for the main tab of processing // it needs the code of “from … Continue reading
Posted in Fractals, programming
Tagged fractal, fractal design, processing, programming
Leave a comment
A fractal kaleidoscope
– whatever that means. I got the idea from the exterior snowflake and the Koch snowflake. They both are fractal curves and are discussed in Wikipedia and Wolfram math world. But I slightly modified the iteration scheme. I start with … Continue reading
Posted in Fractals, Kaleidoscopes
Tagged fractal, fractal design, kaleidoscope, mirror symmetry
2 Comments
Another surprise from complex function iteration
Playing around with my program I found a remarkable result. I used the function f(z)=z*z*z*z+z*z+0.000002 in the iteration. Because of the leading 4th power this multiplies the complex phase by four for large z. Thus the compensation is minus three … Continue reading
Fractal surprise from complex function iteration: The movie
The movie shows the images as discussed int the earlier post “Fractal surprise from complex function iteration” for a decreasing value of the constant c. The program of the last post creates the movie frames. The movie begins with c=0.4 … Continue reading
Posted in Selfsimilarity
Tagged Chaos and Fractals, fractal, fractal design, julia set, Mandelbrot set, Selfsimilarity
1 Comment
Fractal surprise from complex function iteration: The code
// here is the program for the last post // Fractal surprise from complex function iteration // simply use it in processing 1.5 (I don’t know if it works in the new version 2.) // you can download it from … Continue reading