The model unfolded.

Unfolded the other way up.

Folding up into a regular dodecahedron. The blue parts fill the space inside.

All but one part folded up into the regular dodecahedron.

All but one part folded up into the rhombic dodecahedron. The space inside is not quite filled, but the orange parts do meet at the required angles to stop parts folding too far.

When folded up into a rhombic dodecahedron, the space left inside is this tetrahedral stellation of the regular dodecahedron.