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Tag Archives: quasiperiodic Tiling
Breaking the rotational symmetry in the dualization method
We now proceed as we did earlier for the projection method in “breaking the tenfold rotational symmetry“. The sets of parallel lines are moved alternatingly back and forth from the origin. Thus s_i=0.5+xTrans*cos(i*PI/n)+yTrans*sin(i*PI/n)+plusMinus for even i and s_i=0.5+xTrans*cos(i*PI/n)+yTrans*sin(i*PI/n)plusMinus for odd … Continue reading
Posted in programming, Quasiperiodic design, Tilings
Tagged quasiperiodic Tiling, Rotational symmetry
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Dualization method for tenfold rotational symmetry
We now use the dualization method with grids made of several sets of parallel lines. It is important to take the same grids as earlier for the projection method, see “projection method for tenfold rotational symmetry” and “Projection method for … Continue reading
dualization method for the Stampfli tiling – the code
// ********* use processing 2 **************** you can download from processing.org //———————————————————————————— // this is the main code to generate the Stampfli tiling // it shows you how to use the dualization method, // you can generate other tilings with … Continue reading
Posted in programming, Quasiperiodic design, Tilings
Tagged Geometry, processing, programming, quasiperiodic Tiling, Stampfli tiling
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Dualization method for the Stampfli tiling
I am now showing step by step how to get the Stampfli tiling with the dualization method. In the next post you will find the code, which you could change to make other quasiperiodic tilings. First, we combine two hexagon … Continue reading
Posted in programming, Quasiperiodic design, Tilings
Tagged Geometry, programming, quasiperiodic Tiling, Stampfli tiling
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irregular tilings and their duals
To get a better idea how the dualization method works we look at the same hexagonal tiling as before. Here is an image, where the triangles of the dual tiling are shaded: We now add a line to the original … Continue reading
Posted in Quasiperiodic design, Tilings
Tagged dual tesselation, quasiperiodic Tiling, Tessellation
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Projection method for the Stampfli and the Socolar tiling
In “A tiling of 12fold 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 AmmannBeenker tiling. But there is … Continue reading
experiment with the projection method
It seems to be foolish to use an even number, such as n=8, in the code of “projection method for 5fold …“. Note, that I built the code for odd n, especially n=5. For n=8 we get only four different … Continue reading