Grasshopper

generative modeling for Rhino

# Seifert surface

Hi everybody,

I'm fighting with a seifert surface :) ... sth like this http://drgoulu.com/2009/02/03/beaux-noeuds/

Have you got any idea?

You can use seifertview.exe to view or generate it, but how in gh?

Thanks a lot

Gianni

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### Replies to This Discussion

It's not look like borromean rings.

To create this surface try Mobius component from LunchBox (set T parameter to 1.5).

I tryied but nothing to do, as a moebius it seems a one side surface just a little bit different, I add a most clear image

being grasshopper can do functions, and has function components, just do some research to find its parametric formula and apply it to grasshoppers components. http://mathworld.wolfram.com/SeifertSurface.html

Hi Michael, thanks for your suggestion. On google there nothing I can understand but I've asked for help to my friend, he's math teacher, I'll update the post soon

And thats a best solution I think. Please share theory after talking with your friend.

...maybe sth with kangaroo?

it is a mathematical surface, thus, it has an equation, as does a mobius strip. For instance this person wanted to do this surface, The find the equation and interpret it through grasshopper with f(x) functions.

my friend said me he did't do the exam of topology, so I'm alone, I've written in a math forum asking help ... I'll wait

After days and days of searching and questions and forum reading ... nothing ... the most interesting thing I found is this

http://www.singsurf.org/singsurf/SingSurf.html

maybe someone needs it

white flag for me :(

The algorithm described in section 2.3 of this paper:

http://www.win.tue.nl/~vanwijk/knot.pdf

Looks like it would be possible to implement in grasshopper without too much trouble.

That would give you the correct topology, and you could then use Kangaroo to relax it and get a smooth surface.

Thanks Daniel,

this is the definition of the topology but now how can I obtain the surface? I tried to loft but it's the wrong way. Any suggestion?

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