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. If you need to make a larger model, then the net will not be able to place on a single sheet of A4. Видео. Rotation of a polyhedron Video from our partners - the team "ART KOSEKOMA", clearly demonstrates how the net is converted into a geometric shape:
How a polyhedron is formed
The original side of the dodecahedron retains its pentagonal shape, but loses its area.
- 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 sheets
Video. Build a polyhedron from a single net
Icosidodecahedron from the set "Magic Edges"
The dodecahedron is transformed into the icosododecahedron by cutting 12 vertices.
If you need to make a larger model, then the net will not be able to place on a single sheet of A4.
Видео. Rotation of a polyhedron
Video from our partners - the team "ART KOSEKOMA", clearly demonstrates how the net is converted into a geometric shape:
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