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This group of five geometric solids was given the name of the ancient Greek scientist Plato. Mathematicians call these five polyhedra “regular,” but in ordinary speech we most often call them the Platonic solids.

There are five regular polyhedra: a tetrahedron, an octahedron, a cube (also known as a hexahedron), a dodecahedron, and an icosahedron:

tetrahedron

octahedron

cube

dodecahedron

icosahedron

Sometimes you hear the question: “Why did you choose paper (or more precisely, design cardboard) to assemble polyhedrons? It is not the most durable material."
So, why paper? Or how can we make paper harder?

It is not often possible to encounter polyhedra outside of math textbooks. Even though such geometric shapes as a cube, a prism, and a cylinder are found on a daily basis, the Truncated Octahedron and Small Stellated Dodecahedron would never be seen.

Thankfully, the creators of the computer game Color Bump 3D built all the action around geometric solids, including using stellated polyhedra

Semi-regular polyhedra are several groups of polyhedra:

1. Archimedean solids;

2. Catalan solids;

3. Prisms consisting of regular polygons;

4. Antiprisms, consisting of regular polygons.

Platonic solids. Platonic polyhedra.

Regular Polyhedrons

Why paper?

Polyhedra in a computer game

Semi-Regular Polyhedrons

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