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

Regular polyhedra tetrahedrontetrahedron
Regular polyhedra octahedronoctahedron
Regular polyhedra cubecube
Regular polyhedra - dodecahedrondodecahedron
Regular polyhedra - icosahedronicosahedron
How to make paper harder?
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?
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Polyhedra in a computer game
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

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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.


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Regular Polyhedrons

There are five regular polyhedra: a tetrahedron, an octahedron, a cube (also known as a...