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Project News Polyhedr.com in July 2020


Our reader Vladimir Skvortsov sent:

"Your Graduation" No. 6 helped me create a 3d model of the 14th form of the icosahedron. I did not stop there ...

Look at the photo. This is the only one of its kind model of a polyhedron made of concrete - the Fourteenth stellated form of an icosahedron. The description of the model is in the book of Magnus Wenninger. The diameter of my model is 1330 mm. "

14th stellated icosahedron model


56*53*16.76" N
60*52*56.43" E

And at the moment, I am engaged in the manufacture of the Szilassi polyhedron.

Archimedean Polyhedra. How to make pdf template

Archimedean Polyhedra

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

solids of revolutionWhat 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

Bethlehem star
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

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

tetrahedron antimony sodium sulphate

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)

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

Escher mosaic polyhedra

Escher mosaic on dodecahedron

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.


Polyhedra in nature. Part 2

fullerenes spherical carbon molecules icosododecahedron


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

For example, fullerenes - spherical carbon molecules C60 (fig.) - "building blocks" of nanoelectronics and superconductors.


Paper nets are a must in Mcdonalds.

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.