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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.

 

 

Great rhombicuboctahedron shape net

развертка ромбоусеченного кубооктаэдра
развертка ромбоусеченного кубооктаэдра

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

Download shape net - sheet 1.

Download shape net - sheet 2.  

развертка ромбоусеченного кубооктаэдра
развертка ромбоусеченного кубооктаэдра

If you intend to print it on a color printer, download the color net.

Download shape net - sheet 1.
 
 
Download shape 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

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

Truncated cuboctahedron from the set "Magic Edges"

semiregular polyhedra 21 400 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 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:
 
Detailed assembly from Andrei Lomakin (youtube channel - Sekretmastera Paper crafts)
 
Detailed assembly from Alexei Zhigulev (youtube channel - Origami)
 
 

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