Inverted tetrahedron pyramids are placed in each of the dome
triangles. Result is a pentagammic (star) pyramid in each of the
pentagon areas of the dodecahedron. Illustrated as a tube structure,
first views are the basic dome:
Inverted tetrahedrons are added:
Tops of the inverted tetrahedrons are joined; struts shown in orange.
This makes a 3D truss / space-frame system for a super strong