Between Class1 and Class2, there are all the cases where the pentagons are rotated.

the rotations chosen keep the triangles equilateral.

similarly to class2, I created a sub mesh of the icosahedron faces using the triangular grid, because of the numbering of the points. I could pick up the point that I want to adjust througha rotation scaling (a similitude?), following the convention of Magnus Weinninger.

​​​​​​​

the model is more complex than the other. I think it can be improved. feedbacks welcome!

Geode Class3 (6-3)

​​​​​​​

Geode Class3 (4-5)