0.00 $
 0 item(s)

Truncated octahedron

Truncated octahedron

This 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 non-similar polygons while the condition of one of the types of spatial symmetry (tetrahedral, octahedral or icosahedral) is preserved.



Truncated octahedron net

The figure shows the shape net of a truncated octahedron:

Usechyonnyj oktaehdr 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 shape net.


Video. The process of converting an octahedron to a truncated octahedron

Truncating all six vertices of the octahedron 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

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

Truncated octahedron from the set "Magic Edges"

archimedean polyhedra 18 400 2

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 octahedron from the set "Magic Edges"
The rotation of the finished polyhedron assembled from these parts:


Multifaceted hearth

For a primeval man, fire once became a new form of social life. The night ceased to be an...

Children's playground

Summer is the time you want to spend outdoors. At the desk, the children will sit down in...

Escher mosaic

With the same pattern repeating on each face of the polyhedron, it is possible to create an...

Why paper?

Sometimes you hear the question: “Why did you choose paper (or more precisely, design cardboard) to...

Merkaba - energy polyhedron

According to some spiritual teachings, a polyhedron already familiar to us — a compound of two...

Polyhedra in architecture. Part 4. Tower Syuyumbike

The most famous building in Kazan (city in Russia) and its main symbol is Tower Syuyumbike. It is...

Richard Sweeney's worlds

Young British designer, Richard Sweeney, creates amazing paper sculptures. It is interesting that...