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Truncated octahedron

Truncated octahedron

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

A truncated octahedron is a semi-regular convex polyhedron with two properties:
1. All faces are regular polygons of two types - a hexagon and a quadrilateral;
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.


The truncated octahedron is one of the 13 solids of Archimedes.

Archimedean solids 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 an octahedron to a truncated octahedron

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

Video. Build a polyhedron from a single net

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

Truncated octahedron net

The figure shows the development of a truncated octahedron:

Usechyonnyj oktaehdr 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 octahedron from the set "Magic Edges"

archimedean polyhedra 18 400 2
For the assembly of a polyhedron, we can offer you ready-made nets - 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 octahedron from the set "Magic Edges"
The rotation of the finished polyhedron assembled from these parts:


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