Monthly Archives: December 2013

improved code for fractals in high resolution

I was not satisfied with the earlier code for generating high-resolution fractals and I improved on it to make experimentation more rapid. Now the program first generates only a low-resolution image for the computer screen.Then the code stops the “draw()” … Continue reading

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checkerboard coloring of tiling with 12-fold rotational symmetry

At the risk of boring you I am showing the results of the checkerboard coloring as discussed in the last post, but now for 12-fold rotational symmetry. Again the stars of rhombs have only one color: All squares have the … Continue reading

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checkerboard coloring of quasiperiodic tilings

A long time ago I found a coloring of the rhombs of the Ammann-Beenker tiling using two colors such that translations exchange colors, see “two-fold color symmetry …“. In particular, there are stars of rhombs of both colors. They define … Continue reading

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fractals in high resolution – the code

// needs the class OutputBuffer and the improved Vector class OutputBuffer outputBuffer, activeOutputBuffer; int n,iteMax; Vector c; float rLimitSq; void setup() {   size(600, 600);   noLoop();   int magnification=10;   outputBuffer=new OutputBuffer(magnification);   outputBuffer.setUnitLength(230);   outputBuffer.setOffset(-0.05,0);   n=6;   … Continue reading

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fractals in high resolution

Fractal images are a good reason to draw off-screen in high-resolution, as discussed in an earlier post. Looking at the low-resolution image of “self-similar fractals …” we need some imagination to see that it is really self-similar. Too much details … Continue reading

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improved class Vector – the code

// a class for two-dimensional 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

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improving the class Vector

I am not happy with my class Vector. Looking at my posts “Nautilus” and “self-similar 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

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