Fibonacci Spheres

A Fibonacci sphere distributes points almost uniformly across the surface of a sphere by using an angular step based on the golden ratio. In CAD and procedural modeling, it is useful for creating evenly spaced instances, perforations, particles, sampling points, or directional vectors without strong clustering near the poles.

Example image:
Fibonacci sphere point distribution


Geodesic Domes

A geodesic dome is a hemispherical structure formed from a network of interconnected triangles. It is commonly generated by subdividing a polyhedron, usually an icosahedron, and projecting its vertices onto a spherical surface. The resulting structure provides high rigidity while using relatively little material.

Example images:
Rendered geodesic dome
Geodesic dome image gallery

Hi Axel,
Very nice Dome, looks large. How big is it?
Larry

Here are two more: the one with triangles has 320 faces and a diameter of 90 cm, and the one with hexagons and pentagons has 180 faces and a diameter of 90 cm.
All were modeled in VC Pro and manufactured using 3D printing.

Edited by user Friday, August 7, 2026 6:00:20 AM(UTC)  | Reason: Not specified

I always use the same strategy : first, I draw the icosahedron (a polyhedron composed of 20 equilateral triangular faces) inscribed in a sphere of the desired diameter.
It’s purely a matter of geometry : placing the vertices on the sphere in the correct positions!
By connecting these vertices, I end up with 20 triangular faces.
Depending on the project, I can then subdivide these triangular faces into smaller surfaces, all of which always have their vertices inscribed within the sphere (their vertices are always on the surface of the sphere).
From there, I can use each of these surfaces to model parts with the desired appearance and fastening elements.
In practice, I draw one part for each model, and then I duplicate them and reposition them in their respective locations.

Translated with DeepL.com (free version)

Edited by user Saturday, August 8, 2026 1:02:57 AM(UTC)  | Reason: Not specified