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Tag Archives: Ammann–Beenker tiling
Putting the dots and lines together – the code
// create an AmmannBeenker tiling // needs the code of class Vector, class TPoint, class Tiling and saveImage float unitLength; float xRange,yRange; // visible coordinates from (xy)Range to +(xy)Range float sqrt2=sqrt(2.),sqrt05=sqrt(0.5); float xShift,yShift; // shifting one grid to get different … Continue reading
Posted in programming, Quasiperiodic design, Tilings
Tagged Ammann–Beenker tiling, Geometry, processing, programming
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Putting the dots and lines together
In the earlier post “Projection method and corner points” I have shown how to get the corner points of the AmmannBeenker tiling. We now build the tiling using these points. First we have to collect all these corner points in … Continue reading
Posted in programming, Quasiperiodic design, Tilings
Tagged Ammann–Beenker tiling, Geometry, programming
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Projection method and corner points – the code
float unitLength; float xRange,yRange; // visible coordinates from (xy)Range to +(xy)Range float xShift,yShift; // shifting one grid to get different parts of the tiling float sqrt2=sqrt(2.),sqrt05=sqrt(0.5); void setup(){ size(600,600); smooth(); unitLength=30; xShift=0.01; yShift=0.05; ellipseMode(CENTER); … Continue reading
Posted in programming
Tagged Ammann–Beenker tiling, processing, programming, quasiperiodic Tiling
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Projection method and corner points
Earlier I showed you how get the corner points of a quasiperiodic tiling. For the AmmannBeenker tiling see the posts “An easy way to quasiperiodic tilings” and “How to find these corner points of the tiles“. This is easy to … Continue reading
Posted in programming, Quasiperiodic design, Tilings
Tagged Ammann–Beenker tiling, programming, quasiperiodic Tiling
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Iterative method for the AmmannBeenker tiling – the code
// needs class Vector and saveImage code // for details see Iterative method for the AmmannBeenker tiling using “Vector” Vector a,b,c; float f; void setup(){ size(600,600); f=1./(1.+sqrt(2.)); strokeWeight(2); smooth(); } void draw(){ noLoop(); a=new Vector(10,10); b=new … Continue reading
Posted in programming, Quasiperiodic design
Tagged Ammann–Beenker tiling, Iterative method, processing, programming
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Iterative method for the AmmannBeenker tiling using “Vector”
In the earlier post “An efficient iterative method for the AmmannBeenker tiling” I briefly presented an iterative dissection of rhombs and triangles that gives the AmmannBeenker tiling. In the next post “Iterative method for the AmmannBeenker tiling – the code” I … Continue reading
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
Posted in Tilings
Tagged Ammann–Beenker tiling, quasiperiodic Tiling, Socolar tiling, Stampfli tiling, Voronoi diagram
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