Develop spatial imagination
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Icosidodecahedron
A polyhedron is obtained by successively cutting off each of the vertices of the icosahedron or dodecahedron.
The icosododecahedron is a semi-regular convex polyhedron with two properties:
1. All faces are regular polygons of two types - a pentagon 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 icosododecahedron 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.
The dodecahedron is transformed into the icosododecahedron by cutting 12 vertices.
To build a model, you can download the pattern in pdf format and print it on an A4 sheet. If you intend to use colored paper, use this shape net. If you intend to print it on a color printer, download the color net. If you need to make a larger model, then the net will not be able to place on a single sheet of A4. The polyhedra rotation
How a polyhedron is formed
The original side of the dodecahedron retains its pentagonal shape, but loses its area.
Icosidodecahedron shape nets
- 12 pcs. pentagons
- 20 pcs. triangles
You can make a model of a polyhedron on your own, either using standard geometric figures or by downloading sheets with figures — an icosidodecahedron net. To do this, you will need 2 A4 sheetsIcosidodecahedron from the set "Magic Edges"
To do this, you need to use the details of the set Magic Edges 19.
In addition, in the release itself you will find information about the structure of the polyhedron.
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