Three space-filling shapes hiding in the structure of diamond
Channel: Tim Hutton
Date: 2018-03-17

Diamond is an arrangement of carbon atoms called the diamond cubic structure. As well as the cubes there are two other space-filling shapes that are found within it.

In the unit cell I say "three more inside". It should of course be "four more inside".

https://en.wikipedia.org/wiki/Diamond_cubic
https://en.wikipedia.org/wiki/Voronoi_diagram
https://en.wikipedia.org/wiki/Triakis_truncated_tetrahedron
https://en.wikipedia.org/wiki/Rhombic_dodecahedron
http://gisaxs.com/index.php/Lattice:Diamond#Double_Inter-penetrating_Diamond_Two-Particle
https://en.wikipedia.org/wiki/Plesiohedron