## space filling polyhedra

Studying bubbles has lead me onto an investigation into space filling polyhedra. Examples of polyhedra that fill space are the cube, rhombic dodecahedron and the truncated octahedron. This is studied in depth in the amazing book Structure in Nature is a Strategy for Design by Peter Pearce.

Any polyhedra with icosahedral symmetry can't fill space. But that hasn't stopped me building this dodecahedron of dodecahedra below. Can you see why it works even though it shouldn't?

Watch this space for more space filling lattices in the near future!