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Project News Polyhedr.com in April 2020

April

New build video available

New article added:

How to quickly make a TORUS from a sheet of paper

Archimedean Polyhedra

Archimedean Polyhedra

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

 

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.

Nets solids of revolution

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.

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.

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.

Divide the icosahedron (into parts)

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

Practical use of paper models

why needs paper nets
Quite often, a question about the practical use of paper models pops up. What is the point of paper modeling?

 

What is a polyhedron?

18gl

A polyhedron is a solid bounded by flat polygons, which are called faces.

 

Stellated octahedron - a challenging task

Stellated octahedron challenging task

This is a new, very unusual way to create a star octahedron model. The polyhedron itself was discovered in 1619 by the German mathematician and astronomer Johann Kepler.

 

Escher mosaic

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.