Develop spatial imagination
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Project News Polyhedr.com in September 2021
At the invitation of the Moscow State Pedagogical University, we took part in the
Festival of Science and Culture - 2021
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
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.
Archimedean Polyhedra. How to make pdf template
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)
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
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.
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.
Dudeny dissection
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
What is the relationship between an octahedron and a cube?
