I have a given planar surface and want to mesh it with a homogeneous triangular mesh. I’ve tried several methods to achieve an aesthetically pleasing result, and I’ve found that constructing a quad mesh with grid lines aligned parallel to the two edges on the left side gives me the best outcome. To …

Have you tried the ‘Instant Meshes’ plugin? [image] "Oriented" Triangular Remesh Algorithm Grasshopper That looks like it’s using Instant Meshes from this classic 2015 paper There’s a standalone program you can download there to perform this remeshing. @dale also made…

Have a look at this: [image] "perfect" grid with nice boundary Grasshopper For example, here’s an attempt on a more complex shape. On the left is the relaxed result, and on the right is the curve used to identify which points to pull to the boundary (essentially the cutt…

I have to ask - is this a one-off or a generative design with multiple shapes? Because it probably takes as long to eyeball it as it does to find a robust grasshopper solution. Reason being that your constraints (small, big triangles) are rather fuzzy. If I was doing this for a single shape, I’d pr…

@martinsiegrist I have tried it, but the results are similar to the trimesh component [image] @DanielPiker I get the approach but the mesh creases very hard at the edges [image]

That looks like the relaxation has not actually been run yet. If you post the file I can take a look.

Here you go, many thanks for your efforts aesthetic mesh on surface.gh (64.5 KB)

The one-off would be the very last solution if I can’t find a generative design. I want to reuse the mesh for designing a gridshell and it should be optimized after static constraints as much as possible.

Your goals of avoiding tiny triangles and ngons are essentially constraints on the grid topology. The key is to start with a polygon on a regular triangular grid, with its vertices on grid vertices, and edges following either the grid directions or their bisectors: [image] You can then pull the …

Looks very similar to the typ of mesh I was looking for. Let’s see what I can achieve from there

So this is the best I could come up with: [image] Is there a way to get this line also parallel to the outer line? Or is it geometrically impossible? It would be also okay if the curve changes a little bit. I’ve tried so hard to find a way, but I’m stuck. [image] I want to relax the mesh after…

Aesthetic triangular mesh on surface without artefacts and n-gons

Grasshopper

martinsiegrist (Martin Siegrist) May 27, 2025, 8:48am 2

Have you tried the ‘Instant Meshes’ plugin?

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Aesthetic triangular mesh on surface without artefacts and n-gons

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