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.
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.
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
Truncated cuboctahedron from the set "Magic Edges"
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.
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.