Formulas x y z for mapping surfaces in grashopper...is it possible?

Hello to everyone I want to map some surfaces and I have the math formulas for them.

for example

these one on the bottom.

I would really want to see these kind of surface in grasshopper. I do not whant to use wolfram.

DOes anyone knows if these is possible or how to do it?

here is a link for other images done with math formulas.

http://imaginary.org/gallery/herwig-hauser-classic

Best regards

Replies to This Discussion

Permalink Reply by David Rutten on January 16, 2015 at 2:17pm

Since these are implicit equations, they can take on a wide variety of topology and are thus not necessarily representable using Nurbs surfaces. You can do it using meshes, but it involves finding the isosurface of the field. I think the Millipede plugin may be able to do it, but I'm not sure.

You can use Mesh|Plane intersections to generate the curves that approximate two-dimensional implicit functions, but there's no easy way to 'upgrade' that logic to three dimensional implicit surfaces.

Permalink Reply by David Rutten on January 16, 2015 at 2:23pm

I attached a file that plots 2D implicit equations, but note that you have to write them in the form 0 = somethingsomething, where somethingsomething is an expression using x and y variables.

These are some fun implicit equations I found when making this file:

x^2 + y^2 - 4 = 0
(x+2)^2 - y^2 - 3 = 0
x^3 - 2*x+1 - y^2 = 0
3*x * y^2 - x - 1 - x^3 - y^3 = 0
y^3 + x^3 - 3*x*y = 0
sin(x) + cos(y) = 0
sin(x * sin(y)) - cos(y * cos(x)) = 0
-x^3 + 2*x*y + y^5 - y^3 = 0
(x^2 + y^2)^2 - x^2 + y^3 = 0
x^3 + 3*x^2 - y^2 = 0
x^4 + 20*y^3 + y^6 - 12*x*y + 12*y + 55/(2*y^2 + x^2) = C (interesting values for C=55, 30, 8)

Attachments: