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 Color symmetry using the length scale of the inflated lattice
 images with 5fold symmetry and color change indicating selfsimilarity
 images of 8fold rotational symmetry and color changing mirror symmetry
 images of 10fold rotational symmetry and 2color symmetry upon rotation
 Examples of basic fivefold rotational symmetry
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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
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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
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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
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