Archimedes, a scientist from Ancient Greece, discovered thirteen types of polyhedra, now called Archimedean solids, referred to as semi-regular polyhedra.

Nets solids of revolution. How to make pdf template

What happens if a flat geometric shape, such as a rectangle, begins to rotate rapidly relative to one of its sides? We create a new geometric solid in space by rotation.

Mathematical properties of the Platonic solids

One can specify the following mathematical characteristics in each of the five Platonic solids:

1. The radius of the sphere circumscribing the polyhedron;

2. The radius of the sphere inscribed in the polyhedron;

3. The surface area of the polyhedron;

4. The volume of the polyhedron.

The star of hope

A star is an image of divine idea and will; due to them, our Light and Universe were created and started to exist in Space.

Merkaba - energy polyhedron

According to some spiritual teachings, a polyhedron already familiar to us — a compound of two tetrahedra (stellated octahedron) — is not just a geometric form. This form is endowed with powerful energy and maybe even supernatural properties.

Polyhedra in nature

In the natural environment, regular polyhedra can be found in the form of crystals (minerals).

The form of the tetrahedron is transmitted by antimony sodium sulfate.

Divide the icosahedron (into parts)

Is it possible to make up an icosahedron using more simple polyhedra?

Escher mosaic polyhedra

With the same pattern repeating on each polyhedrons face, it is possible to create an alternating combination of patterns on a three-dimensional geometric solid.

Paper nets are a must in Mcdonalds.

Boxes for Big Mac and potatoes familiar to everyone from childhood, a glass for Coca-Cola is also made from paper nets.

Polyhedra in nature. Part 2

In the micro-world, polyhedra are found in molecules, viruses, and bacteria - the simplest organisms.

For example, fullerenes - spherical carbon molecules C_{60} (fig.) - "building blocks" of nanoelectronics and superconductors.