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Truncated tetrahedron

Truncated tetrahedron

This 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 solids of Archimedes.

Archimedean solids are semiregular polyhedra in the sense that their faces are regular non-similar polygons while the condition of one of the types of spatial symmetry (tetrahedral, octahedral or icosahedral) is preserved.

 

Truncated tetrahedron net

The figure shows the shape net of a truncated tetrahedron:

Usechyonnyj tetraehdr ris2

To build a model, you can download the pattern in pdf format and print it on an A4 sheet.
If you intend to print it on a color printer, download the color net.

If you intend to use colored paper, use this net.

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

Truncating all four vertices of the 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

This video from our partners, the ART KOSEKOMA team, clearly demonstrates how the pattern is converted into a geometric shape:

Truncated tetrahedron from the set "Magic Edges"

archimedean polyhedra magic edges 18
To assemble polyhedra, we can offer you ready-made patterns that are 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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