The polyhedron is obtained based on the mathematical expansion (for more detail, No. 31 of the Magic Edges).
A truncated icosidodecahedron is a semiregular convex polyhedron with two properties:
1. All faces are regular polygons of three types - a decagon, a hexagon, 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.
The truncated icosidodecahedron is one of the 13 solids of Archimedes.
Archimedean solids are semiregular polyhedra in the sense that 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.
Video. Polyhedron assembly
This video from our partners, the ART KOSEKOMA team, clearly demonstrates how the pattern is converted into a geometric shape:
To assemble polyhedra, we can offer you ready-made patterns that are cut and folded.
However, this will not be a classic polyhedron shape.
The polyhedron will be modified.
The external contours will be identical to the shape of the Archimedean solid - the Truncated icosidodecahedron.
But the polyhedron itself will have through holes in place of decagonal faces.
For assembly, you need to use the details of the Magic Edges 31 kit.
Also, in the issue itself, you will find information about the structure of the polyhedron.