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Truncated hexahedron, Truncated cube

Truncated cube

A 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 Archimedes solids.

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.

 

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

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

The truncation of all eight vertices of a 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.

Video. Polyhedron assembly

Video. Polyhedron assembly

Video from our partners - the team "ART KOSEKOMA", clearly demonstrates how the net is converted into a geometric shape:

Truncated cube net

Truncated cube net

The figure shows a net of a truncated cube:

Usechyonnyj kub ris2

To build a model, you can download a net in pdf format and print it on an A4 sheet:


- if you intend to print on a color printer - color net;

- if you intend to use a color cardboard - net.

 

Truncated cube from the set "Magic Edges"

Truncated cube from the set "Magic Edges"

archimedean polyhedra 18 400 2
For the assembly of a polyhedron, we can offer you ready-made scans - 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:

 

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