Platonic love for geometry Equilateral convex polyhedra need to have certain characteristics. First, each of the sides of the polyhedra needs to be of the same length.

A polyhedron (uniform or not) is convex if a line segment joining any two of its points lies entirely on or inside it. Some of these had been studied by mathematicians from ancient times, while others ...

These polyhedra are sometimes called the Johnson solids. In 1969 the Russian Viktor A. Zalgaller offered a computer-based computational proof that Johnson had completed the enumeration of convex ...

Photo Credit: fdecomite. Since Plato’s work, two other classes of equilateral convex polyhedra, as the collective of these shapes are called, have been found: Archimedean solids (including ...

Equilateral convex polyhedra must have certain characteristics. Their sides have to be of equal lengths and he shapes must be completely solid. Any point on a line that connects two points in a ...

“A lot of people say that fullerenes are convex polyhedra, but from the point of view of a geometer, the faces of a polyhedron must be planar,” says Schein.

New in 2023 1.0.1, CGM Polyhedra introduces functionality for creating a mesh that represents the convex hull of a specified collection of input meshes or bodies.

Since Plato’s work, two other classes of equilateral convex polyhedra, as the collective of these shapes are called, have been found: Archimedean solids (including truncated icosahedron) and ...