Recent Comments
Tag Archives: hexagonal lattice
Decorations of semi-regular tessellations
In the last posts I have shown kaleidoscopes that make repeating images in Euclidean, spherical and hyperbolic spaces. They are decorations of regular tilings. But what about semi-regular tilings? Could we decorate them too using mirrors? This would give us … Continue reading
Posted in Kaleidoscopes, Tilings
Tagged hexagonal lattice, kaleidoscope, mirror symmetry, Tessellation
Leave a comment
tiling with rhombs of 12-fold rotational symmetry
If we use n=3 in “Dualization method for ten-fold rotational symmetry – the code” we get the well-known periodic tiling with rhombs of 60 degree acute angle and hexagonal symmetry. It is useful for isometric projections, see the geometricon.wordpress.com blog … Continue reading
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
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
Posted in Cellular automata
Tagged Cellular automaton, generative design, hexagonal lattice
Leave a comment
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
Imitating snowflakes with a simple cellular automation
In an earlier post “Fake snowflakes” I already created images that resemble snowflakes. I used a rather complicated method. Now I have found a much simpler cellular automaton that gives similar results. Again I use a hexagonal lattice. Each cell … Continue reading
Posted in Cellular automata
Tagged Cellular automaton, generative design, hexagonal lattice, Snowflake
Leave a comment
Further images from hexagonal cellular automatons
I continue to pursue my main interest – to create geometric images. Thus I have tried new recipes for cellular automatons on the hexagonal lattice. The cells have either state 1 or 0. To get symmetric images we start with … Continue reading
Posted in Cellular automata, Fractals
Tagged Cellular automaton, fractal, hexagonal lattice
Leave a comment
Conway’s game of life on a hexagonal lattice
Out of curiosity I searched for a similar cellular automaton as Conway’s game of life on a hexagonal lattice. It should have gliders and use the Moore neighborhood as defined in the earlier post “hexagonal cellular automata“. I found gliders … Continue reading
Posted in Cellular automata
Tagged Cellular automaton, Conway's game of life, glider, hexagonal lattice
1 Comment
The modified parity rule
A small change of the parity rule gives us new interesting images. In addition to the states of the six nearest neighbors of a cell we count the state of the cell itself too. The cell has state =1 in … Continue reading
Posted in Cellular automata, Fractals
Tagged Cellular automaton, fractal, hexagonal lattice, Self-similarity
Leave a comment
parity rule – the video
In the last post I did not do a good description how the cellular automaton with parity rule evolves on a hexagonal lattice. Thus I made a video using the von Neumann neighborhood. You can see reappearing inflating generations with … Continue reading
Posted in Cellular automata
Tagged Cellular automaton, fractal, hexagonal lattice, Self-similarity, square lattice
Leave a comment
