algorithmic modeling for Rhino
Script in C# to generate penrose tilings using the substitution method. See this penrose tiling page from university of british columbia for a description of the algorithm.
Output is as a mesh or as polylines forming the quads of the penrose rhombs or a mesh of the generating triangles.
4 options exist for the initial triangle:
0 = use inputMesh drawn in rhino
1 = fat triangle*scale
2 = thin triangle*scale
3 = fat triangle (very small)
4 = thin triangle (very small)
Comment
Hi where can I find the C sharp script?
Can you please share it- I am trying to get the Penrose tiling pattern on a dome-like surface.
Hi Roly,
looks great,
is it possible to tesselate a cylinder with the penrose tiling?
can you plz help me with offset penrose like we do it for voronoi pattern
thank you
Elissa
Very nice upgrade, thanks. Roly
Hi bhavin
You have to use a triangle mesh to start see the example - also it has very specific proportions for penrose. Check the link to the BC page above.
i am finding it difficult to generate it on a square mesh , apart from triangle mesh its difficult to generate the pattern
please help with some solution
Hey Roly, thanks for this! I modified your script a little to decorate the rhombs with triangles, see here.
Awesome and nice implementation!
Great work Roly. A question: I wanted to take each polyhedron of the tiling pattern and then extrude them, to do that, I need to find opposing pairs and join them into a closed curve. Is there a simple approach to find the 'pairs' that will give a closed curve?
Sweet! Wrote a component for Danzer tiling (comparable with penrose in 3d) a while ago. Might also share it soon.
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