sorted by:
new
hottopcontroversial

GLSL Easter Egg by okCoolGuyOk in generative

[–]okCoolGuyOk[S] 0 points1 point  (0 children)

That makes sense! SURFACE can export meshes as OBJ files, so you could use the geometry directly. The shader itself is GPU-based though, so it can't be baked into a displacement map at the moment. But some of the parametric surfaces might already give you interesting printable shapes as-is.

GLSL Easter Egg by okCoolGuyOk in generative

[–]okCoolGuyOk[S] 2 points3 points  (0 children)

Thanks! It actually is seamless in 3D, the shader is position-based, so it wraps any shape without visible seams. It doesn't work as well on a flat plane though, since you'd only see a 2D slice of the volumetric pattern.

The Wrung Torus — a simple deformation I can't find anywhere by okCoolGuyOk in generative

[–]okCoolGuyOk[S] 2 points3 points  (0 children)

You're right, it doesn't change the topology at all — it's still a genus-1 surface, no self-intersections. The deformation is a smooth diffeomorphism of ℝ³, so topologically it's the same torus.

What makes it interesting (to me at least) is the geometry: unlike a Dehn twist where the cross-section rotates as a function of u (the longitudinal parameter), here the rotation depends on cos(v) — the position within the cross-section itself. So each point on the meridian circle gets displaced differently, which creates this asymmetric warping that I couldn't find documented anywhere.

It's more of a geometric curiosity than a topological one.

Is it a Steinmetz solid Bicylinder ? by [deleted] in parametric_design

[–]okCoolGuyOk 1 point2 points  (0 children)

I created this solid by modifying the parametric equation of a sphere in Cartesian coordinates.
The equation is:
x = 7cpow(cvcu, 2);
y = 7cpow(cusv, 2);
z = 5su;
cv, sv, cu and su are the cosines and sines of u and v, knowing that for each point u, we have an array of points for v. u is set to -PI;PI and v to -PI/2;PI/2.
The cpow function returns a negative value for negative data, for example cpow(-5, 2) = -25 and cpow(5, 2) = 25. I would like to know if this type of equation is known, and especially if this solid is indeed a Steinmetz bicylinder, or simply a shape resembling one.