This is so cool. visose - it is incredible that you can create this things. I am quite new to this forum and to GH but I couldn't resist trying the mathsurfaces, and it's really a matter of copy and paste from K3DSurf, even though in some cases I haven't figured out how to set the proper range.
Anyway I tried to follow your solution for the Schwarz surface but I wanted to ask 2 things. As you can see in this screenshot: http://picasaweb.google.se/lh/photo/RpDHwCRaBECD3718zd2PNg I didn't know what the first and last parts where, so I set the first interval to A:-4 B:4, I think I got the other parts right, but could I ask what the last part is? /Lars On 21 Nov, 15:06, visose <[EMAIL PROTECTED]> wrote: > I'm not sure what would be the best way to create isosurfaces in > grasshopper (I just learned about them). > The simplest way to visualize this shape would be to create a 3D grid > of points that range from -4 to 4 in the 3 axis and then cull this > list of points using the expression cos(x)+cos(y)+cos(z)< 0, since the > points that lie inside the volume will result in < 0. The points > oustide the volume will result in > 0 and the points that lie in the > exact boundary of the surface will result in = 0. > This will create a point cloud that will appear to have that shape > with just a couple of components. > > If you want to find out the boundary, you have to "solve for x". > This is what i did:http://grasshopper3d.googlegroups.com/web/schwartz.jpg > Since there are 3 variables, I create a 2D grid of points in the XY > plane that already gives me 2 of the variables, and then I solve for > the third one. > The problem is that the third point may have more than one solution, > but grasshopper only solves for one of them, so it results in > something similar to the "drape surface" command in rhino. > What I do is "drape" four 2d grids of points each on a different side > of the object. What I get is a list of points that lie in the surface > of the object. > I don't know if there is an elegant way of constructing this with nurb > surfaces. Meshing would probably be better. > > - Btw there's a part of the definition not shown on the screenshot > that creates lines between all the points and filters the ones that > are over a given length, I don't recommend using this. > > On Nov 21, 9:56 am, rpict <[EMAIL PROTECTED]> wrote: > > > thanks alot visose for sharing the mathsurfaces stuff. > > > there are a lot more formulas in explicit polar coordinates within the > > k3dsurf package. > > you can just paste and copy them into grasshopper mathsurfaces. also > > the klein bottle works :) > > > X():(3*(1+sin(v)) + 2*(1-cos(v)/2)*cos(u))*cos(v) > > Y():(4+2*(1-cos(v)/2)*cos(u))*sin(v) > > Z():-2*(1-cos(v)/2) * sin(u) > > [u]:0, 2*pi > > [v]:0, 2*pi > > >http://k3dsurf.sourceforge.net/ > > > this leads me to another question: > > the k3dsurf package contents also isosurfaces in cartesian coordinates > > F(x,y,z,t....)=0 > > e.g. the Schwartz surface: cos(x)+cos(y)+cos(z)=0; x,y,z=(-4,4) > > does anyone know how to set up mathsurfaces in this format? > > > -rpict
