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Truncated cube

Truncated cube

This polyhedron is obtained by successively cutting off each of the vertices of the cube (hexahedron).

A truncated cube is a semi-regular convex polyhedron with two properties:
1. All faces are regular polygons of two types, an octagon and a triangle;
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

 

The truncated cube is one of the 13 Archimedean solids

.

 

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 cube net

The figure shows the shape net of a truncated cube:

Usechyonnyj kub 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.

Truncated cube2
Another variant of the shape net of a truncated cube assumes that the faces formed by the cube are painted in three colors, while the opposite faces are painted in the same colors. And the faces formed by the octahedron, the triangular faces, remain white. Download a shape net of a truncated cube.

Video. The process of converting a cube into a truncated cube

Truncating all all eight vertices of the cube leads to the formation of a truncated cube. The quadrangular faces of the original polyhedron lose their area and are converted to octagonal faces.

The 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 cube 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 No. 18:
 
Assembling a truncated cube from the set "Magic Edges"
 
The rotation of the finished polyhedron assembled from these parts:
 
Detailed assembly from Alexei Zhigulev (youtube channel - Origami)
 
And if you want to see the monument in the shape of a truncated cube, then welcome to Germany in the city of Würzburg (near Frankfurt).
 truncated cube in Germany in Würzburg

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