i want to subdivide surfaces with specific rectangular measurements. There is always the possibility to subdivide surfaces by U and V, but if i want to realizie it with fixed rectangles like 100 by 100mm. Somehow close to a netstructure:
A quadrilateral grid with equal edge lengths on a surface is known as a Chebyshev net.
Finding these is not a matter of simple subdivision, but generally will require an iterative technique (meaning scripting or plugins).
Here’s one way you can form-find these with Kangaroo- chebyshev_example1.gh (13.0 KB)
It’s also worth noting that tensioned nets with fixed edge lengths do not generally form minimal surfaces.
A minimal surface (as approximated by a soap film) has the same tension in all directions.
In a tensioned quad net, as the quads deform into rhombi, the tensions vary depending on direction, so the shape will be different.