The regular convex polyhedra are the five Platonic solids, which have been known since classical Greece. The ancient Greek mathematician Euclid proved in his Elements of Geometry that there are only ...

Delve deeper into sacred geometry, and you'll encounter the Platonic solids. Named after the ancient Greek philosopher Plato, these five regular solids are shapes with faces that are congruent ...

Six triangles make a flat sheet that can't be folded into a corner. So only three Platonic solids can be made from triangles. Image caption, Three squares make the corner of a cube. However four ...

The use of tiles skyrocketed further in the later Renaissance period, with Italian artisans perfecting the medium as an ...

Topics may include: Euclidean geometry, hyperbolic and spherical geometry, platonic solids, tilings and wallpaper groups, graph theory, finite geometries, projective geometry, equidecomposition, the ...

For some, though, a different kind of partnership proves just as meaningful. Platonic partnerships—without the romance or sex— are popular with people determined to make love work through ...

Even with their orbits taking the "imperfect" shape of an ellipse, Kepler showed that a planet swept out an equal geometric area of its orbit ... Johannes Kepler's nesting Platonic solids, as depicted ...

In recent years, many physicists and materials scientists have been studying a newly uncovered class of magnetic materials ...

Besides the regular and semiregular solids, there are just ninety-two other convex polyhedra with regular faces. In 1966, the American mathematician Norman W. Johnson, a student of H.S.M. Coxeter at ...