Figure 1: The five Platonic solids and the 13 Archimedean solids. We formulate the problem of generating dense packings of non-overlapping polyhedra within an adaptive fundamental cell subject to ...

There are only 13 “Archimedean solids” – a family of symmetrical, 3D polyhedra attributed to the Greek mathematician. Now chemists have made a molecule-scale version of one of these special ...

Tetrahedra lack a quality known as central symmetry. To possess this quality, an object must have a center that will bisect any line drawn to connect any two points on separate planes on its surface.

The term semiregular is used to describe polyhedra that are uniform but not regular. The semiregular convex polyhedra include thirteen solids associated with another ancient mathematician, Archimedes.

More information: Zhen Wang et al, Growth mechanism and sintering properties of high crystallinity Archimedean polyhedral (Zr0.5Hf0.5)B2 nanoparticles, Journal of the European Ceramic Society ...

One of only 13 Archimedean solids, the truncated octahedron (Image: Scott Camazine/Alamy) As well as super-shrinking everyday gadgets such as motors, molecules have also been massaged into shapes ...