Hello everyone, I was exploring minimal surfaces and I was wondering if with grasshopper would be possible to create a knotted one? [IMG-20190806-WA0043]

There is also a material called microlam, which is a high grade, thick, sort of plywood used for beams. I found a piece some years ago and carved a few bowls out of it, all was well except wood is different than stone or metal in that it can catch fire when you are not paying attention. On the disc…

My design is in the ugly-study-piece phase! If you look at the original artists other works there are some wooden versions that look like they were building up to the final limestone masterpiece.

BACK ON TOPIC… I started looking at how you do create a minimal surface from a trefoil knot wire and found this… Soap Films On Knots [image] Anyone know how to create the initial surface that could then be Soap-Filmed in K2 to get a minimal surface? [image] TREFOIL_KNOT_MINIMAL_SURF.gh (7.7 …

One way of creating torus knot curves is to sweep a point through a Möbius transformation (with a rational input for Q) [image] This also reveals the connection between the familiar representation of the trefoil with 3-fold rotational symmetry and the 2-fold one in the image above. One comes fro…

Thanks for the reply! I’m not disputing your explanation of the initial sculpture… I agree, although I can’t manage to replicate something quite as smooth as your rotating image above… [image] I do want to try and create a surface / mesh from the knot (or not!) curve that I can then soap film in…

Yes, SeifertView is nice. Also KnotPlot . I tried a while ago some knot relaxation by repulsion, so you can input a knot as any old messy curve, as long as it has the right topology, and find the smooth energy minimising form of it: knotrepulsion.gh (18.2 KB) Seifert’s algorithm is qu…

[image] DanielPiker: Seifert’s algorithm is quite simple. It should be possible to make something to automatically generate them in Grasshopper. It looks like it creates a network of discs and ribbons with twists in the ribbons according to the topology of the knot. I’m not sure why it seems …

Awesome and cool tool, thanks Daniel. I used this script in order to make the knotted curve [image] Making bridges on self intersecting curve Grasshopper What about that ? I didn’t search if it was not already answered on old Grasshopper forum [image] [image] draw cur…

Unfortunately, the InterconnectPoints component doesn’t work on my pc… must be a 32bit thing :frowning:

Minimal surfaces

Grasshopper

martynjhogg August 20, 2019, 3:01pm 73

Quite nice software for visualising Seifert…
SeifertView

Creating Cells (Like Voronoi) Based on the Size of an Area

OnCurve + SortAlongCurve

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Minimal surfaces

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