Tag Archives: Socolar tiling

Projection method for the Stampfli and the Socolar tiling – the code

// ********* use processing 2 **************** you can download from processing.org //———————————————————————————— // this is the main code to generate the stampfli and the socolar tiling // and other related quasiperiodic designs // put this code in the main tab … Continue reading

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Projection method for the Stampfli and the Socolar tiling

In “A tiling of 12-fold rotational symmetry from two hexagon grids” and following posts I have already discussed the projection method for the Stampfli tiling. It is quite similar to the projection method for the Ammann-Beenker tiling. But there is … Continue reading

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12-fold rotational symmetry from projection

I use the “Projection method for 10-fold rotational symmetry” with 6 instead of 5 sets of parallel lines, setting “numDirections=6;” in “projection method with polygons – the code“. Then, the program searches for 12-pointed stars and gives a quasiperiodic design … Continue reading

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The Voronio diagram of quasiperiodic tilings

In the post “Beautifying the double grid” I have shown how to get an interesting trellis by distorting the grid of a quasiperiodic tiling. Here I am showing Voronoi diagrams of the corner points of tilings, which make nice trellis … Continue reading

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Doubling the tesselation of dodecagons and triangles

It is still too hot for my brain to do something really new and thus I continue with the semiregular tessellations. Today I am looking at the tessellation of dodecagons and triangles. Dodecagons are regular polygons with twelve sides. The … Continue reading

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Doubling the tesselation of hexagons

We continue with the dualization method. Here again I am not presenting something really new. I am just trying to put things together. It was probably Socolar who first used the dualization method to get a quasiperiodic tiling of 12-fold … Continue reading

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