Monthly Archives: February 2013

cellular automaton with color on a square lattice

I used the same methods as in the last post but now for a square lattice. I could not get similar results with 4-fold rotational symmetry instead of 6-fold rotational symmetry. Instead, the images were rather different. For my taste, … Continue reading

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Hexagonal cellular automaton in color

The images from the hexagonal cellular automaton shown in “Basic parity rule – sample images  ” and “Modified parity rule – sample images ”  are only black and white. But I prefer color. To get similar images in color I modified the … Continue reading

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Beautifying the double grid

The grids for quasiperiodic tilings do not look good because a lot of irregular shapes arise from superimposing two simple grids, see the article “Doubling the tessellation of triangles“. But we can distort these double grids and get new interesting … Continue reading

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Periodic approximations of quasiperiodic tilings

In the earlier post “Why these tilings are not periodic” I showed that the Ammann-Beenker tiling is quasiperiodic because it arises from superimposing two square grids with rotated by 45 degrees. As seen in the same direction we have the periodic … Continue reading

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Modified parity rule – sample images

This is quite similar to the last posts with some small changes: As in the post “The modified parity rule” I am now counting the state of the cell itself too. To get a calmer image I am using gray as … Continue reading

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