Hello everyone!
I have the following set of curves, they all form equilateral triangles on a sphere. The way I constructed them is I used the MeshIcoSphere plugin and then used Kangaroo to get all the curves to be the same length.
What I want now is to each of this triangles to be the base of a pyramid. Can anyone point me in the right direction?
Thank you very much!
This isnāt possible.
Youāre seeing the same value repeated a few dozen times just because of the edge ordering from the subdivision. Scroll down your list further and youāll see the other lengths are different.
You can make the edge lengths all equal, but the result isnāt a smooth sphere, instead something crumpled like this:
Wait, are there more of these irregular large polyhedra formed by equilateral triangles?
All along Iād been thinking of the icosahedronās status as the biggest platonic solid as a limit, when in fact it appears thereās a world of opportunity?
Yes, if you donāt require them to be convex, then there are infinite polyhedra of only equilateral triangles possible. If you search for Lobel frames there are a few discussions on here and the old gh forum.