Pattern on a Sphere
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 From:  amur (STEFAN)
9014.91 
Thanks Mik.

Hi James,

a small tut, with no pictures, but i hope
it is easy to understand.

Quote user genna87 from Reddit posting:

"With Antiprism you can generate any Goldberg polyhedron:

geodesic -c m,n ico | pol_recip | canonical | off_util -g | off2obj > /path/to/file.obj

m,n is the desired class ( eg: 4,0 )"

http://antiprism.com

I used for m,n = 1,4 like shown in Wikipedia:

https://en.wikipedia.org/wiki/Goldberg_polyhedron

Once you have the polyhedron import it with obj import script
and then create a slightly smaller solid sphere near the polyhedron
and additionally place also one point object in the scene.

After that align all three objects, so that they are centered
and copy/paste the edges from the polyhedron. Then do a point
extrusion (no caps) with the obtained lines and the centered point.

Use the generated surfaces to trim the solid sphere.

Now you have a Goldberg pattern on your sphere, which you
can then colorize with MoI.

That's all. :-)

P.S. since i'm no Math geek like you and others i have to
check out why i have problems with creating a Class II
polyhedron.

Regards
Stefan
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 From:  amur (STEFAN)
9014.92 
...same sphere with different colorization and seam removed.

Bildschirmfoto_2018-08-16_um_22.31.35
bild für foren hochladen

Regards
Stefan
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 From:  amur (STEFAN)
9014.93 
Hi all,

O.k.now i figured the Class II out, by omitting the canonical parameter in geodesic.

Here a Goldberg sphere 6,6 without a seam. :-)

Bildschirmfoto_2018-08-16_um_23.31.46_Kopie

Regards
Stefan
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Message 9014.94 deleted 29 Jan by JFH

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 From:  amur (STEFAN)
9014.95 
Hi James,

thank you very much, much appreciated! :-)

The stamp looks really cool!

Regards
Stefan

EDITED: 18 Aug 2018 by STEFAN

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 From:  amur (STEFAN)
9014.96 
Hi all,

and a rendering of a re-modeled version, so that i have the black lines as a mesh too.

g_6_6

Regards
Stefan
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 From:  amur (STEFAN)
9014.97 
...and as a little freebie for the community,

here's the download link for both 6,6 versions, in .3dm NURBS format.

https://keybase.pub/stefan_claas/3D_models/Goldberg_sphere.zip

Regards
Stefan
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 From:  mkdm
9014.98 In reply to 9014.96 
Very nice! Really very nice! I like it :)

- Marco (mkdm)
My Procreate portfolio
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 From:  amur (STEFAN)
9014.99 
Thank you very much Marco!

Regards
Stefan
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Message 9014.100 deleted 20 Aug 2018 by STEFAN

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 From:  Frenchy Pilou (PILOU)
9014.101 
First contact! :)

---
Pilou
Is beautiful that please without concept!
My Moi French Site My Gallery
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 From:  amur (STEFAN)
9014.102 
Very nice Pilou!

Regards
Stefan
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 From:  amur (STEFAN)
9014.103 
Hi all,

here is just a little 3D print of my Goldberg sphere. Diameter is 5cm.

IMG_0690

Regards
Stefan
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 From:  mkdm
9014.104 In reply to 9014.103 
Very cool!!

A nice "tangible" 3d doodle!

- Marco (mkdm)
My Procreate portfolio
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 From:  amur (STEFAN)
9014.105 
Yes, Marco! :-) And thanks.

Regards
Stefan
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 From:  Frenchy Pilou (PILOU)
9014.106 
Cuty! :)
---
Pilou
Is beautiful that please without concept!
My Moi French Site My Gallery
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 From:  amur (STEFAN)
9014.107 
Thanks Pilou! :-)

Regards
Stefan
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 From:  amur (STEFAN)
9014.108 
Hi all,

here is my approach on George W. Hart's beautiful wood sculpture.

ghw

https://www.mi.sanu.ac.rs/vismath/hartex/roads-untaken.html

Regards
Stefan

EDITED: 23 Aug 2018 by STEFAN

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 From:  Finema
9014.109 In reply to 9014.108 
Really nice !
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 From:  amur (STEFAN)
9014.110 
Thank you Finema!

The reason why i modeled his sphere is that i like to see how it looks
rendered in an outside environment, made of metal and much larger.

Hope that i can archive my goal.

Regards
Stefan
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