Achieve a Uniform Hexagonal Pattern on Curved Surface

[Remound]

Hi everyone,

I’m working on a project in Grasshopper where I’m trying to create a uniform hexagonal pattern on a curved surface
.

In my pattern, the hexagons are not aligned as neatly, the overall pattern feels less controlled and uniform, and the cells vary slightly in size. What I’m aiming for is a pattern where all the hexagonal cells have the same size, and they are evenly distributed, following the curvature of the boundary perfectly.

Could anyone guide me on how to achieve a more precise and uniform hexagonal pattern on a curved surface? Any tips or techniques would be greatly appreciated!

Thanks in advance for your help

HexaGrid.gh (10.3 KB)

[Joseph_Oster]

@Remound

on a curved surface

Your surface is flat (planar) so only its edges are curved.

The easier way to do what you have done is Map Srf (Map to Surface):

HexaGrid_2024Aug31a.gh (8.1 KB)

Another way is Project:

HexaGrid_2024Aug31b.gh (8.0 KB)

[Remound]

Thank you, @Joseph_Oster , for your prompt response. However, the “Map to Surface” option does not achieve the desired outcome, as I need all cells to be of uniform size. Additionally, the “Project” function does not align the cells along a single curve. I attempted using TriMesh and generated the dual mesh, which produced promising results, but the cells haven’t the same size

[Joseph_Oster]

What you are describing is impossible.

[Remound]

Maybe this photo could help me to discribe what i need here

[Joseph_Oster]

It’s an illusion, they can’t be all the same size. Or if they are, the gaps between them vary?

[Remound]

Not sure about the gap .but im sure they all have same size

[Joseph_Oster]

I can see the gaps are not all the same. Otherwise, mathematically impossible.

[JP-Mike]

I agree with @Joseph_Oster

The gaps should not all be the same size, or should the cells be uniform in size.

[Remound]

Ok then . But How you start with let’s say 3 cells and finish with 6 ?

[Joseph_Oster]

Chainmail array on multiple surfaces

I remember another thread that was more appropriate but can’t find it. Something about linked discs, similar to this: