Polygon Sphere

Hi ,

I’m wandering of someone can help me to know how to array the polygon on the object as I try to array, project and flow along surface, but it doesn’t work for me .Polygon.3dm (312.6 KB)


As I’m trying to create a polygon, as when I array the polygon I got the wrong shape ,

Hi @razaqe

It would help if you could explain what is the final result that is wanted.

Arraying, Flowing, Projecting are distinct operations involving distinct intents.

Are you willing to array a set of polygons on the Srf by rows in U, in V or Both directions ?
… that’s what the shared image 2 suggests.

What about the orientations of the distributed polygons, any rule wanted ?

Regards
Rodolfo Santos

I’m trying to create web of polygons as a ball , but I’m not sure which tool I have to use .
image

I tried to make it by using flow along surface, but the polygon shape isn’t equal

I believe it is simply impossible to create a sphere with equal shaped polygons. Do a search on “Geodesic construction” on the internet to see what is or isn’t possible.
In any case it will have to be constructed from the ground up, once you know the components involved.

I made a geodesic sphere once:

as pointed by @maxz , it is not possible to map a sphere object with the polygon you want to use without deforming it.

Please refer to dedicated web contents to better approach the problem with Rhino or GH.
ie . Regular polygons that touching to a sphere surface

Regards
Rodolfo Santos.

This is true. Most experts call these solids geodesic grids. Grids made of hexagons and pentagons are called Goldberg polyhedra. The easiest way to make them is to use Rhino plugin called RhinoPolyhedra. You can download this plugin from this page: RhinoPolyhedra | Food4Rhino

After the download and installation, run the plugin by typing the word Polyhedron in the command prompt. The plugin calls Goldberg polyhedra “Dual Geodesic Icosahedra.” Examples of Goldberg polyhedra:




3 Likes

The new TriRemesh component in Grasshopper in Rhino 7 may be of interest too…

1 Like

Seems a nice one.

Thanks for sharing.

Regards
Rodolfo Santos

Hi,

When I use TriRemesh component by increasing length, I realized that pentagonal and hexagonal parts are planar. Is there any chance to obtain curved polygons on sphere instead of planar ones?

Thanks in advace.


curved_panels_sphere.gh (9.7 KB)

1 Like

Daniel, I appreciate for your help.

Is it possible to arrange double curved patches as same as possible in order to cover a sphere with minimum amount of identical patches like Goldberg Polyhedra sample above? Although I change the length, I could not obtain same size, surface area etc. for the panels. Almost all of them have small differences.

If you want sets of identical patches, don’t use remeshing, use the RhinoPolyhedra plugin linked above.