A design study of the Dodecahedron with Stars

Shown with round tube construction.
Bottom point is removed, base perimeter is a 5 point star.

Turned so 3 points rest on the ground.

Truss struts of the Icosa (yellow) make elongated tetrahedrons with the star points.
Here the semi-tranparent inner cover of the dodeca is removed.

A few more illustrations >>>