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53 posts

Point Attractors Revisited

February 29, 2012

This is the basic definition of one point attractor on a grid of points. Here, the fundamentals of data tree matching can be studied. A hexagonal grid is exploded into points and new polygons are created there. Instead of a standard point distance relation to polygon size, this time the distance factor affects the rotational angle of these polygons. Although the structure of data trees is getting complicated, this has no difficulty in such definition, because the operational complexity is still very…

Ice-ray Lattices

February 5, 2012

The design of Chinese window lattices named “ice-ray” is one of the classic studies of Shape Grammars. It is an old and good example of algorithmic design. George Stiny explained their geometric construction based on the parametric Shape Grammars approach. He explained shape rules and the abstract machine that produces the subdivisions. I was especially interested in Shape Grammars when I was a graduate student. I even made a prototype tool for Shape Grammars in MaxScript. Here is another post…

Circle Crossing

December 25, 2011

I am learning Grasshopper. In this Circle Crossing definition, I tried to create the above pattern (also described in Sunflower Spiral) as simply as possible, this definition creates not only spirals but is also capable of more tessellations I guess. Maybe a three-dimensional equivalent might be studied in the future. As you can see from the definition, I started with a large circle. Then, I divided it into segments and placed new circles centered on them. Finally, I divide the…

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