Costa surface by grasshopper

grasshopper
unhandled

(airoaya) #1

Hi i’d like to make costa surface like attached image421fd275c4944660855c335dc10447cc--science-images-math-art

Does it have to be made with Python?

attach some link may it help
Thanks!

http://moi3d.com/forum/lmessages.php?webtag=MOI&msg=7673.1


Hopf fibration by grasshopper
Helicoid with hole
(Pfotiad0) #2

Other than Daniel’s stuff:

Equation: http://mathworld.wolfram.com/CostaMinimalSurface.html

PS: I have somewhere a C# that does this … but is made years ago and I barely can recall where is it (workstation, directory etc etc).


(Wim Dekeyser) #3

Google?


#4

I think the easiest way is the sub-d approach. But if it is the best solution depends what you want to do with it. Of course you can also make Costa’s Surface from a single NURBS srf but that’s more tricky.


(Pfotiad0) #5

In my workstations? LOL

BTW: Found about 20 freaky things none of them is a Costa (Karma, what else?) . Here’s some. Notify if you need any.


(airoaya) #6

Interesting
where these come from?
did you made all by yourself?


(Pfotiad0) #7

Yes.

In general given any equation … the rest are rather easy (in some cases you need checks for NaN and the likes).

BTW: These are a good intro on min surf matters:

minimal_surfaces.pdf (1.2 MB)

minimal_surfaces2.pdf (3.5 MB)

BTW: Found some 10 more in another workstation but none is a Kosta (maybe is deleted and/or is lost due to the traditional annual system crash (happens around August every year)).