platonic solids

Both of these arguments only show that there can be no more than five Platonic solids.

Some molecules based on the platonic solids are thus ruled out.

There is a close relationship to other Platonic solids.

Each of the Platonic solids occurs naturally in one form or another.

Geometry of space frames is often based on platonic solids.

His work concluded with mathematical descriptions of the five Platonic solids.

The most famous regular polyhedra are the five Platonic solids.

The various angles associated with the Platonic solids are tabulated below.

The following table lists the various symmetry properties of the Platonic solids.

Most designs are based on Platonic solids such as the icosahedron.

The same procedure can be followed for the other Platonic solids:

The five Platonic solids were known to them.

Five is also the number of Platonic solids.

It is one of five regular compounds constructed from identical Platonic solids.

Indeed, one can view the Platonic solids as the five regular tessellations of the sphere.

In 3 dimensions there are 5 regular polyhedra known as the Platonic solids.

The Greek five elements are sometimes associated with the five platonic solids.

The three regular tessellations of the plane are closely related to the Platonic solids.

The connection to Platonic solids is described in .

The cube can also be called a regular hexahedron and is one of the five Platonic solids.

The Platonic solids have been known since antiquity.

The following table lists the various radii of the Platonic solids together with their surface area and volume.

These and the Platonic solids are the only convex noble polyhedra.

The five Platonic solids have an Euler characteristic of 2.

The icosahedron and the dodecahedron are Platonic solids with 30 edges.