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Project News Polyhedr.com in August 2020


Added assembly diagram of a new model:

Szilassi polyhedron

Our polyhedra are of interest all over the world.
The Magic Edges sets caught the attention of a mathematics professor at the University of Berkeley (California, USA). Mr. Richard Borcherds, left a wish to complement the series with ball-shaped models with an internal structure related to the symmetry groups of the tetrahedron, octahedron, and icosahedron. And attached photos of models.


Special thanks to Mr. Richard Borcherds. It is pleasant to know that our products have received attention at a university with a century and a half history, which in 2016 took third place in the academic ranking of the best universities in the world.

Updated article:

Regular pentagonal prism

Updated article:

Regular hexagonal prism

New video from our partners - "ART KOSEKOMA" team, visualization of the function and its projections



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.

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.

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.


Divide the icosahedron (into parts)

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

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.

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.

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.


Dudeny dissection

cut a triangle into parts

Is it possible to cut a triangle into such several parts so that one can put a square together?




Dual pairs of polyhedra. Part 2

octahedron vs cube

What is the relationship between an octahedron and a cube?