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Truncated cuboctahedron (Great rhombicuboctahedron)

Truncated cuboctahedron

The polyhedron is obtained based on the 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.


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

Archimedean solids are semiregular polyhedra because their faces are regular polygons. Still, 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

Truncated cuboctahedron shape net
Truncated cuboctahedron shape net

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

Download shape net - sheet 1.

Download shape net - sheet 2.

Truncated cuboctahedron
Truncated cuboctahedron shape net

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:



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.
Also, 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 Papercrafts)

Detailed assembly from Alexei Zhigulev (youtube channel - Origami)



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