Method of constructing a dual of 3-frequency icosahedral geodesic sphere

[john_combo]

Hello to all forum participants!

I would like to get your professional opinion on how to construct this figure: Dual of 3-frequency icosahedral geodesic sphere. Is there a way to do this using Inventor tools?
I have attached an image of this interesting figure to help you understand what I mean.
If you answer that such a figure cannot be created using Inventor tools, then maybe you know of some other software that allows you to create a solid model of such a figure?
Thank you for your attention to my question!

[johnsonshiue]

Hi! This should be doable in Inventor using a 3D Sketch and a sphere. It may not be trivial but it should be doable. Please share your attempt. The forum experts can help take a closer look.

Many thanks!

[john_combo]

The dual 3-frequency icosahedral geodesic sphere can be considered as one of the variations of the Catalan solids, since it is a dual polyhedron with respect to the original geodesic structure built on the basis of the icosahedron.
I do not think that it can be created by applying a 3D sketch to the sphere.