
Recent Posts
 Quasiperiodic design with 8fold rotational symmetry from 4dimensional space
 Rotational symmetry from space with an even number of dimensions
 Periodic design with 3fold rotational symmetry from 3dimensional space
 Inversion symmetry doubles the rotation symmetry for an odd number of dimensions
 quasiperiodic patterns of 5fold symmetry from 5 dimensional space
Recent Comments
Archives
 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
Category Archives: Uncategorized
improved class Vector – the code
// a class for twodimensional vectors, similarly as PVector, with extensions for complex numbers //———————————————————— // // some important values float vectorSmall=0.0001; float vectorDiameter=8; color vectorColor=color(255); // and here’s the class class Vector{ float x,y; // … Continue reading
improving the class Vector
I am not happy with my class Vector. Looking at my posts “Nautilus” and “selfsimilar fractals …” I realize that complex numbers and vectors should be put together with their methods, which are mostly mappings of the plane. In particular, … Continue reading
class Points – the code
class Points{ Point[] points; Points(){ points=new Point[0]; } Point find(int i){ // return point with given index return points[i]; } Point find(Vector v){ // return Point with given vector … Continue reading
Coloring the Julia set
The Julia set of a function f(z) in the complex plane has all points z that remain finite upon iterations of the function. In the last posts I have used expanding functions to get fractal images from iteration, as discussed … Continue reading
Posted in Fractals, Selfsimilarity, Uncategorized
Tagged fractal, Iterated function, iteration, julia set, Rotational symmetry, Selfsimilarity
Leave a comment
From pixels to coordinates – with code
This is similar to “setting up the coordinates” but goes in opposite direction. We now know the coordinates (i,j) of a pixel on the screen and we need to know the corresponding coordinates (x,y) in the complex plane. We want … Continue reading
Posted in Uncategorized
Leave a comment
Saving images
I am using processing that you can download from processing.org. It is free but your donation is welcome. Processing is built on Java. With processing you can easily create interesting images with small programs. Once you have an image you … Continue reading
Posted in programming, Uncategorized
Tagged File Management, processing, programming
Leave a comment