Develop spatial imagination
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Small rhombicosidodecahedron
The polyhedron is obtained based on the mathematical expansion (for more detail, No. 21 of the Magic Edges).
A small rhombicosidodecahedron is a semi-correct convex polyhedron with two properties:
1. All faces are regular polygons of three types - a pentagon, a quadrilateral, 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 small rhombicosidodecahedron 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.
To assemble a small rhombicosidodecahedron, you will need to print two nets on A4 sheets. For printing, you can use both white and colored paper. If you are using a color printer, we suggest downloading a color net of a truncated icosidodecahedron. We connect two parts of the nets into a single net, as shown in the figure: Next, we trace the net and get a polyhedron truncated small rhombicosidodecahedron
Polyhedra shape net
Download net sheet 1.
Download net sheet 2.
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