Named for Plato, who theorized that the classical elements were made of these regular polyhedrons, three of the Platonic solids are composed of equilateral triangles: the tetrahedron, octahedron ...

The red balls represent O, the blue tetrahedron represents Li in tetrahedral sites, and the green octahedron represents the Li/V shared octahedral sites. Disclaimer: AAAS and EurekAlert!

Six particles can form into a symmetrical octahedron and into a more complex tri-tetrahedron shape. In terms of chemical structure, each shape results in 12 bonds, and hence, has the same amount ...

STEP 3: Three regular triangles on a corner make a tetrahedron, four make an octahedron and five make an icosahedron. Six triangles make a flat sheet that can't be folded into a corner.

Even though mathematicians have spent over 2,000 years dissecting the structure of the five Platonic solids — the tetrahedron, cube, octahedron, icosahedron and dodecahedron — there's still a lot we ...