Thanks again to everyone.
Give me time to translate.
For now I say:
1 I’m sorry because I have not explained well
2 I had no doubt you would have found a solution
3 I also solved the problem but I have no time to stop and show the result
...................... and I strongly doubt that inflating the assembled icosahedron into a sphere would result in any notable distortion of any of the polys..
Due to inflating being based on vertex direction, you do get a change in size of the Hexagons. Maybe better to take the icosahedron up to 40 faces? But even then, I think the sizes will differ enough to very noticeable.
I did quickly make the icosahedron based on the image posted, and inflated to sphere to check (no, not done in Hexagon).
Ciao Steve.
I will (but I have to finish) with the hexagon.
The super golf ball is like that.
...................... and I strongly doubt that inflating the assembled icosahedron into a sphere would result in any notable distortion of any of the polys..
Due to inflating being based on vertex direction, you do get a change in size of the Hexagons
True, but by “notable” (not to be confused with “noticeable”), I simply meant I doubted it would be great enough to worry about.
Maybe better to take the icosahedron up to 40 faces? But even then, I think the sizes will differ enough to very noticeable.
I did quickly make the icosahedron based on the image posted, and inflated to sphere to check (no, not done in Hexagon)
And a fine looking sphere it is!
There may be noticeable distortion to some hexagons as you rotate the sphere, but the general aesthetics are still very pleasing.
BTW: What was the program you used to do that? It really is a good looking sphere.
With patience and about ten hours of work builds with exagagon.
However, with Hexagon is not possible to model a golf ball? In the golf ball there is some imperfection .......6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5,6,6,6,6,6,6,6,6,6,5 etc. etc. etc.
The Traveller Role playing game took the soccer ball idea and expanded on it. They recombined and subdivided the hexagons & pentagons to create many more hexagons and make the pentagons much smaller. Here is a picture of that pattern projected onto an icosahedron and unfolded
That’s fascinating as hell, but I must be getting old…
I stared at that thing for 10 minutes trying to figure out where the pentagons were before I realized that there were only 5 “sawtooth” points top and bottom, not 6 (the old “forest/trees” thngy…). So that gave me the 2 “polar” pentagons. As I was folding it in my mind, It took me a few more minutes to realize that the “hexagons” I was seeing at the unfolded apexes were an illusion - they’re each pentagons with a split side.
So curiously, even at the reduced size/increased counts of the polys, there are STILL only 12 pentagons as in the soccer ball, but many more hexagons (looks like 240?), and I strongly doubt that inflating the assembled icosahedron into a sphere would result in any notable distortion of any of the polys.
Thanks for posting that, Pwiecek! A very interesting exercize!
Well, There has to be SOME distortion of the hexagons. If they were perfect they would tessellate onto a plane. As it is, I believe the centers of the 20 triangles are going to bulge out a little making the center hexes a little larger. The more hexes, the less difference in size. But the biggest difference is going to be between the hexagons and the pentagons.
