Icosa - Dome with Pyramids,

making the Rhombic Triacontahedron

Face planes become large parallelograms, all equal, with 5 on the bottom cut in half.
X2 and X3 struts are shown, angled to create the shallow pyramids.
In actual practice, the pyramids can be made any practical height.
It is very similar to the Garden Dome 1.
Paper model of the Icosa-Dome with Pyramids.