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Project News Polyhedr.com in August 2020

August

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.

Borcherds1
Borcherds2
 
Borcherds3

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

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.

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.

Dual pairs of polyhedra

dodecahedron vs icosahedron

What do the dodecahedron and icosahedron have in common?

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.

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?

 

 

 

Polyhedra in architecture. Alexandria Lighthouse

Lighthouse of Alexandria

The Lighthouse of Alexandria, one of the Seven Wonders, was built in the 3d century BC in an ancient city Alexandria in Egypt to keep the boats away from the reef on their way to Alexandria bay. At that time, Posidippus wrote the following words about a new lighthouse: