Hexagons on surface : Is there a tool that outputs nice hexagons?

[martynjhogg]

@laurent_delrieu

Version 0.5

Nautilus | Food4Rhino

I didn’t know you had released this. Thanks for sharing! I’ve used your reaction diffusion to mesh to 3d print some things which was really satisfying!

[magicteddy]

@Joseph_Oster

It’s a sprawling canvas though, so reluctantly, I’ll pass on trying to understand it.

I was hoping you would find a nice intuitive approach to avoid those math tricks I love so much !
I could clean this a bit more, but already spent almost the entire day on it so that will wait. Note that I use icon display + Group Display and that doesn’t seem as messy as it is on your screenshot. You can ignore some parts as well.

Have a nice evening

[Joseph_Oster]

@magicteddy

I use icon display + Group Display

I don’t read icons. I figured you do because the ‘Draw Full Names’ components (from you) often overlap. I can turn Full Names on/off, of course (I have to turn it on first to turn it off), but the canvas is still HUGE . Difficult for me to take in, which is too bad because I’d like to understand your code.

What is “Group Display”?

P.S. Oh, Sunglasses - “Big nicknames on groups”? Took awhile to get that to work, enable Sunglasses, remove ‘Group’ from the ‘Exclusions’ filter. It’s cool but not enough.

[Giovanni_Veronesi (Gio Veronesi)]

Hi Laurent, thank you for this post. It’s a great topic and rather relevant in architecture- I thought I would share my own solution, which I used for this project a few years back, and allowed to fabricate this pod in melbourne with only a handful of node types, as the angles between members where consistent within a certain tolerance. Now that I learned how to loop, it took me under one hour to rewrite. Not as sophisticated as yours and others on this post but it works. Cheers

230803_Proportional Grid.gh (15.9 KB)

[martinsiegrist]

At least for the hexagons, the pattern could also be optimized with Kangaroo.

This approach does not require the remapping of domains.

vase_hexagons_v3_kangaroo.gh (57.9 KB)

[litwinaa (Andy)]

Maybe this link:

How do I map a hexagonal grid onto a surface

hi, im working on a project and i need help. the design that i am working on is an auxetic shoe sole. i have already made my sole and my auxetic structure separately as the structure was complex, now i need to map or morph that onto the sole and i am unable to figure it out. Help me out guys. [Screenshot 2023-02-21 203818] [Screenshot 2023-02-21 204359] [Screenshot 2023-02-21 204446] [Screenshot 2023-02-21 204511] [Screenshot 2023-02-21 204531] Main Structure.3dm (4.1 MB) Main Structu…

can help?

Thank you,

Andy

[DanielPiker]

Yes, for pure surfaces of revolution I think using the respaced uv isovalues approach in the other definitions above can work well, but if the shape is more freeform, the relaxation approach comes into its own more.

Rather than acting on hexagons and keeping their angles, I think I’d use a triangular mesh here and take the dual at the end. The TangentIncircles goal will optimise towards a conformal mapping, so the resulting hexagons will be close to regular (within the limits created by the number of rows we set).

Here’s an example of this relaxation, outputting a hexagonal mesh at the end
hexagons_relaxed.gh (129.5 KB)

[martinsiegrist]

@DanielPiker

I think I’d use a triangular mesh here and take the dual at the end.

Makes sense

[anon39580149]

Hi @laurent_delrieu

Today i test your Hexagon on surface with a simple sphere.

When N = 10 or 20 with O = false
And N <= 6 , N = 10 or N = 20 with O = true
The output looks duplicated and there are many invalid curves

I also test Curve to raster and it is very slow compared to using divide curve + rectangles and region at the end.

nautilus_test.gh (12.1 KB)

[laurent_delrieu]

Thanks for the reports. One cool or bad thing about surface is that you can have a result outside bounds. But i ll get a look at this.
Curve to raster was an help for opennest. But it is not good.

[laurent_delrieu]

Hello
I corrected Curve to raster on Nautilus 1.7 and renamed it Pixelated it is fastest as it just rely on Clipper.

[yoav_Levi]

hi guys
sorry for bumping this old thread

is there a way to make each hexagon as a closed individual curve?
thanks!

[laurent_delrieu]

Hello
most of the tools have closed 6 sided polygon !!!
You must send a file if you have a script that don’t do that.

[yoav_Levi]

thanks for your reply

Hexagons on surface : Is there a tool that outputs nice hexagons?

At least for the hexagons, the pattern could also be optimized with Kangaroo. This approach does not require the remapping of domains. [image] [image] vase_hexagons_v3_kangaroo.gh (57.9 KB)

in this script the end result is seperate curves and not closed seperate hexagons

[martinsiegrist]

In my case it wasn’t necessary but you can pass the closed curves through the solver with a show component.

[yoav_Levi]

thanks for the reply
where can i find info on how to do so?

[martinsiegrist]

Not sure. I added the closed curves for you:

vase_hexagons_v3_kangaroo_closed-curves.gh (60.6 KB)

[yoav_Levi]

thank you!

[Ian_Baker]

Yes, I was trying to get surfaces from the hexagon plugin but it was pretty hard. It would be neat to have closed surfaces as an end result.

[laurent_delrieu]

Hello @Ian_Baker
it is not really clear what you want. To my understanding a closed surface is a volume.
If you want a surface from an hexagon I am not sure there is a “perfect” and “simple” solution as in Rhinoceros a surface has 4 sides/2 directions. An hexagon has 6 sides !
Or it is a trimmed surface or a patch or you can divide the hexagon in 2 or 3.

Can you elaborate on you intention ?