Grasshopper

algorithmic modeling for Rhino

Hi All,

I am working on a uni assignment with a friend and we have been using Kangaroo to develop a form that we can then progress into a structure or piece of architecture. 

the problem lies with our MESH.

in order to get the dynamic relaxed form we need to start with a mesh with naked points. 

so we have used a square plane with some holes punch out. (see image)

then we pull the naked points to a curve and run Kangaroo. from here we can now play with the boundary lines and the points move with them.

In the image you can see how there is a pinch point on the mesh which is from the corners of the original square mesh.

Does anyone know how to rebuild and disregard these pinch points or does anyone know how we can subdivide or turn it into a new surface with a regular subdivision?

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Designing good quad meshes like this takes a bit of practice.

Here's one possible way to subdivide a surface like yours:

The mesh on the left was made manually using Mesh>PolygonMeshPrimitives>3dFace,

then subdivided and relaxed while pulling to curves to give the result on the right.

When designing this coarse quad mesh, you want to avoid having vertices on the boundary connected to only 2 edges, like you had at the corners, as these are what create the 'pinch points' you mention.

Ideally all vertices on the boundary should have 3 connected edges, and all internal vertices should have 4, but when there are openings this isn't always possible, and you will need some extraordinary vertices.

In general, making these higher valence (>3 on the boundary and >4 internally) gives nicer results than lower valence for tensile surfaces.

Another option could be to find a rough form using arbitrary mesh topology, then analyse the curvature directions and use these to design a better quad mesh.

Yet another option would be to just get the shape you want using a triangulated mesh, then use something like TMap to turn it into a quad mesh.

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