Equidecomposability of Drilled Bilunabirotunda and a Bilinski Dodecahedron

This Demonstration shows that the drilled bilunabirotunda is equidecomposable (equivalent by dissection) with a Bilinski dodecahedron. As a consequence, three bilunabirotundas and a dodecahedron are equidecomposable with three Bilinski dodecahedra and a rhombic triacontahedron. Namely, the bilunabirotunda has a surplus of four pentagonal pyramids and the dodecahedron has a deficit of 12 of them.