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Truncated tetrahedron

Truncated tetrahedron

The polyhedron is obtained by successively cutting off each of the vertices of the tetrahedron.

A truncated tetrahedron is a semi-regular convex polyhedron with two properties:
1. All faces are regular polygons of two types - a hexagon and a triangle;
2. For any pair of vertices, there is a symmetry of the polyhedron (that is, a motion that translates the polyhedron into itself) that transforms one vertex to another.

Архимед

The truncated tetrahedron is one of the 13 bodies of Archimedes.

Archimedean bodies are semiregular polyhedra in the sense that their faces are regular polygons, but they are not the same, while the condition of one of the types of spatial symmetry: tetrahedral, octahedral or icosahedral is preserved.

 

Video. The process of converting a tetrahedron to a truncated tetrahedron

Truncation of all four vertices of a tetrahedron leads to the formation of a truncated tetrahedron. The triangular faces of the original polyhedron lose their area and are converted to hexagonal faces.

Video. Build a polyhedron from a net

Video from our partners - the team "ART KOSEKOMA", clearly demonstrates how the scan is converted into a geometric shape:

Truncated tetrahedron net

The figure shows the development of a truncated tetrahedron:

Usechyonnyj tetraehdr ris2

To build a model, you can download a net in pdf format and print it on an A4 sheet:
- if you intend to print on a color printer - color net;
- if you intend to use colored paper - net.

Truncated tetrahedron from the set "Magic Edges"

archimedean polyhedra 18 400 2
For the assembly of a polyhedron, we can offer you ready-made scans - cut and folded.
To do this, you need to use the details of the set Magic Edges 18.
In addition, in the release itself you will find information about the structure of the polyhedron.
 
Polyhedra, from the set Magic Edges 18:
 
Assembling a truncated tetrahedron from the set "Magic Edges"
 
The rotation of the finished polyhedron assembled from these parts:

 

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