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)

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.

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:

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?

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.