Generating a geodesic dome

Replies to This Discussion

Permalink Reply by Hyungsoo Kim on January 23, 2017 at 6:51am

Hi.

How about using Kangaroo2 for planarization?

Attachments:

• Geo_Dome_2_re.gh, 26 KB

Permalink Reply by Morten Ydefeldt on January 23, 2017 at 4:05pm

I see your point, but it was quite not the solution I was looking for, it's a bit too hax, the math need add up.

I don't know why it does initially work..

But then I look here:
http://mathworld.wolfram.com/GeodesicDome.html

In such domes, neither the polyhedron vertices nor the centers of faces necessarily lie at exactly the same distances from the center. However, these conditions are approximately satisfied.

So maybe it's not possible to generate such a thing? But then again how is it done in this component ? [Example1.png]

But then again again I look at the amount of different line lengths in the exploded hexagons from that example and note there are some inconsistencies. [example2.png]

Conclusion:
Wolfram Alpha is correct, it's not possible to generate this shape without 'haxing' around with the points to make it fit planar surfaces.

But it should be possible to generate an approximation that is good enough, actually the method presented by Hyungsoo Kim should be just as fine as anything else.

Thank you!

Attachments:

• example1.png, 631 KB
• example2.png, 647 KB

Permalink Reply by martyn hogg on January 24, 2017 at 12:43pm

Maybe it depends on the method you use to generate the dome?

I thought geodesic domes start as an icosohedron... 20 equilateral triangles with all vertices lying on a sphere.

Divide the equilateral triangles into more triangles and project the points of these triangles onto the sphere.

The more triangles you divide the original equilateral triangles into, the closer to a sphere you get but the more variation in length of triangle edge and corner node geometry.

This method is also giving you triangles not hexagons and pentagons, but you can see the hexagons and pentagons made up of the triangles.

Permalink Reply by Daniel Piker on January 24, 2017 at 1:17pm

How about using the facet dome component like this?:

Attachments:

• Geo_Dome_facet.gh, 6 KB