Loop on a sphere

[niji_umar]

LOOOP.gh (22.6 KB)

Good day everyone, please I am tryong to achieve the image in black and white using grasshopper, and i have been struggling to align the planes to achieve this result, i have attached the grasshopper file …kindly assist look into it and advise

[laurent_delrieu]

Hello
what I understand from this image is that it seems to be some hexagon that are deformed. They can come from an Icosahedron, Each point as a rotation inverted from its neighbors.
BUT it can’t work on a sphere as there are some pentagons.

Here is one way, there is surely a clever one.
The idea is to color each point with 2 “colors” which is not possible, indeed there will be 3 colors
So I use the topology of line network of the dual mesh (Nautilus plugin)
Then nColor component from Nautilus (one color = one angle)
Then I rotate the line to be used in Blend Curve
Then Multipipe

sphere rotation icosaedron.gh (28.5 KB)

[niji_umar]

Thank you for this, one of the major challenge is there are no polyhendrons made of 6 edges…I wonder if there is a different approach to address this

[laurent_delrieu]

This is possible if you use something like a tube, sphere without pole, egg without pole

egg rotation icosaedron.gh (25.9 KB)

[niji_umar]

Hi Laurent,

Thank you for your help, I really appreciate it.

I noticed that the Dual Mesh component doesn’t appear in my installation of Nautilus, even though the plugin is installed and loaded. Is this component part of a specific version, or am I possibly missing something in the setup?

Also, I’ve seen several examples of Nautilus being used to rebuild complex polysurfaces into a single surface, which is something I’m currently trying to achieve. I haven’t fully grasped the workflow yet, could you point me toward any resources or examples that would help me better understand and master this process?

Thanks again for your time and support.

[laurent_delrieu]

@niji_umar

Dual Mesh

This component is from Daniel Piker.
Look there

Dual mesh script

@DanielPiker is there a way to convert a triangular mesh to a dual with a simple script? I need what’s in the D output of the TriRemesh component but without having to remesh a mesh.

or there

Dual mesh script

@DanielPiker is there a way to convert a triangular mesh to a dual with a simple script? I need what’s in the D output of the TriRemesh component but without having to remesh a mesh.

At the end you just need some lines.

@niji_umar

I’ve seen several examples of Nautilus being used to rebuild complex polysurfaces into a single surface

I think it is another tool.

@niji_umar

any resources

I have no idea. The logic is simple (the script a bit less), at each point/node there is a of rotation, rotation angle is changed at each point of the polygon. But there are other logic possible it could be something like : each line is bended inside or outside the polygon …

Updated
egg rotation icosaedron.gh (33.6 KB)

[Tom_P]

@niji_umar

Good da

what s the origin of this image ?
Ai-generated ?
… and what is your target / the project-context ?
you build a stadium for multi-million dollar ?
or just 3d print a lampshade out of curiosity ?

[Tom_P]

my go:

ok it s a question of the underlaying triangulation…
…and a bit of clever cheating and choosing the right perspective to not show the cheat on the first view

Being in bed with a cold - this was a welcome change for my screen time. I did most of the steps manually - optimising the initial triangulation would improved the result further…

cheers - tom