0.00 $
 0 item(s)

Truncated cuboctahedron (Great rhombicuboctahedron)

Truncated cuboctahedron

The polyhedron is obtained on the basis of the operation of mathematical expansion (for more detail, No. 21 of the Magic Edges).

A truncated cuboctahedron is a semiregular polyhedron with two properties:
1. All faces are regular polygons of three types - an octagon, 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.


Truncated cuboctahedron 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.




развертка ромбоусеченного кубооктаэдра
развертка ромбоусеченного кубооктаэдра

To assemble a truncated cuboctahedron, you will need to print two nets on A4 sheets.

Download net sheet 1.

Download net sheet 2.
For printing, you can use both white and colored paper.


развертка ромбоусеченного кубооктаэдра
развертка ромбоусеченного кубооктаэдра

If you are using a color printer, then we suggest downloading a color net of a truncated cuboctahedron.
Download net sheet 1.
Download net sheet 2.


We connect two parts of the net into a single net as shown in the figure:


Next, we glue the unfolding and get a polyhedron of a truncated cuboctahedron.

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 cuboctahedron from the set "Magic Edges"

semiregular polyhedra 21 400 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 21.
In addition, in the release itself you will find information about the structure of the polyhedron.
The rotation of the finished polyhedron assembled from these parts:


Why paper?

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

Novotalitskaya school

Under the guidance of Tatyana Yurievna Timofeyeva, a teacher of mathematics, the guys worked on the...

Production. Issue Magic Edges №27

We open the veil of the secrets - how our products are made. And let's do it on the example of...

Symphony of metal

Metal processing is a very complex process. But there are masters who can cut out polyhedrons from metal...

Paper nets are must in Mcdonalds

Boxes for Big Mac and potatoes familiar to everyone from childhood, a glass for Coca-Cola is also...

Multifaceted hearth

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

On Cosmonautics Day, let's bring the stars

  There are coincidences, which we do not even suspect. April 12 - Cosmonautics Day!...