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.

Archimedes

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.

 

 

Net

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:

ris1
ris2

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:
 
 

Popular

Mathematical properties of the Platonic solids

One can specify the following mathematical characteristics in each of the five Platonic solids: 1....

Polyhedra in nature

In the natural environment, regular polyhedra can be found in the form of crystals (minerals). The...

Origami vs "Magic Edges" sets

In this article we will try to tell whether the of “Magic Edges” can be attributed to a variety of...

Polyhedra in architecture. Part 5

Architects have used the elements of polyhedra in designing their constructions since ancient...

Practical use of paper models

Quite often a question about a practical use of paper models pops up.  What is the point of paper...

Stellated octahedron - a challenging task

This is a new, very unusual way to create a star octahedron model. The polyhedron itself was...