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The Parametric Circle

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Help With Creating Tangent Ruled Surfaces in Grasshopper
Hello! I recently came across Cameron Wu’s studies in Lines of Development, and I found them really interesting. I’m trying to replicate some of the processes so I can understand them better and experiment further with ruled surfaces. From what I understand, some of the studies start with a cone/hyperboloid and generate a ruled surface that somehow wraps around it while remaining tangent to it. The same idea is then extended to multiple objects, creating continuous ruled surfaces that connect or transition between them. The only method I’ve managed to figure out so far is essentially working in 2D: contouring the geometries, getting circles/sections, drawing tangent lines between corresponding sections, extracting the overall curves, and then lofting those together. It works for something simple, but I don’t think it would be practical once the geometry becomes more complicated or when several objects are involved. I feel like there must be a more direct 3D approach, possibly by taking points on the surfaces, creating perpendicular/local planes at those points, and somehow finding the tangent ruling lines between the geometries. Has anyone experimented with something similar in Rhino/Grasshopper, or knows a good way to construct these tangent ruled surfaces directly in 3D? Any pointers on the geometry or Grasshopper approach would be really appreciated!
Help With Creating Tangent Ruled Surfaces in Grasshopper
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@Bryan Garcia Agudelo No, not yet. It’s quite a challenge, so it’s likely to take some time.
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Farah Swilam
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