Tag Archives: Cellular automaton

Cellular automaton on quasiperiodic tiling

Any tiling can be used to define a cellular automaton. The tiles (squares, triangles, rhombs and other polygons) are simply the cells. Each tile has all other tiles with a common edge in its von Neumann neighborhood. I use the … Continue reading

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cellular automaton on the semiregular tesselation of squares and octagons

For a change I am looking again at cellular automatons. The results using a square lattice were not really satisfying, see “cellular automaton with color on a square lattice“. There, horizontal and vertical lines dominated too much. To get different … Continue reading

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Cellular automation on the lattice of triangles

The tessellation of triangles can easily be mapped onto the square lattice, see the figures at the left and right. Upright triangles (colored green) and upside-down triangles (white) go into separate rows. The lines of interaction for the Von Neumann … Continue reading

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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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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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Basic parity rule – sample images

To get smoother images I first use Gauss-blur and then a threshold filter. Here I am showing results for the parity rule on the hexagonal lattice with the von Neumann neighborhood. You get more details in my earlier post “The … Continue reading

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