Change a rectangular grid into a hexagonal one ?

Hi guys,

Would there be simple geometrical rule to change a rectangular grid into a hexagonal one?

Any reference would help !

Many thanks,

Arthur

Replies to This Discussion

Permalink Reply by Mårten Nettelbladt on March 18, 2011 at 4:20pm

Scale 1-dimensionally to 86.6% and Shear 60° ?

Permalink Reply by Mårten Nettelbladt on March 18, 2011 at 4:24pm

Oops, that made a triangular grid, not the same thing...

Permalink Reply by Arthur Mamou-Mani on March 18, 2011 at 4:28pm

Thanks Marten,

I could also cull some of the points but is that a real hexagonal grid?

Permalink Reply by David Rutten on March 18, 2011 at 4:33pm

It's a different topology (connectivity), so the intermediate forms won't make a closed pattern. (see attached). Though you could fix that by defining two deformations:

1) 0.0 -> 0.5 Move the columns up and down without deforming the square cells

2) 0.5 -> 1.0 Deform the vertices of the rectangles to match the hexagons.

At the moment I do both at the same time, which results in gaps.

David Rutten

david@mcneel.com

Poprad, Slovakia

Attachments:

rectohex.ghx, 105 KB

Permalink Reply by David Rutten on March 18, 2011 at 4:37pm

Here's another formula that separates the two motions.

(got it right the first time, wooo!)

Though I should mention this second approach is based on the assumption the grid is aligned exactly the way it is now, whereas the first formula doesn't care about orientation.

David Rutten

david@mcneel.com

Poprad, Slovakia

Attachments:

rectohex.ghx, 105 KB

Permalink Reply by Mårten Nettelbladt on March 18, 2011 at 4:44pm

Cool! Version 0.8.008? :)

Permalink Reply by Arthur Mamou-Mani on March 18, 2011 at 5:09pm

Thanks a lot David, really cool!

Trying to think how I could adapt the definition but I guess I should have started with a more basic question:

Would there be a way to get an organized rectangular or hexagonal grid with cells as output from points imported from Rhino?

In the definition you have sent, the hexagons do not touch the original grid, I was hoping the hexagonal grid could still be "constrained" to these lines as they are important construction lines. Marten's first technique would have been good for that as it shifts points on a line...