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Small rhombicosidodecahedron

Small rhombicosidodecahedron

The polyhedron is obtained on the basis of the operation of mathematical expansion (for more detail, No. 21 of the Magic Faces).

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.

Archimedes

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, but they are not the same, while the condition of one of the types of spatial symmetry: tetrahedral, octahedral or icosahedral is preserved.

 

Polyhedra shape net

rhombicosidodecahedron 1
Small rhombicosidodecahedron net

To assemble a small rhombicosidodecahedron, you will need to print two nets on A4 sheets.

Download net sheet 1.

Download net sheet 2.

For printing, you can use both white and colored paper.

 

rhombicosidodecahedron col1
Small rhombicosidodecahedron net

If you are using a color printer, then we suggest downloading a color net of a truncated icosa-dodecahedron.
 
Download net sheet 1.
 
Download net sheet 2.

We connect two parts of the nets into a single net as shown in the figure:

ris1
Small rhombicosidodecahedron net

Next, we trace the net and get a polyhedron truncated small rhombicosidodecahedron

Video. Build a polyhedron from a single net


This video from our partners, the ART KOSEKOMA team, clearly demonstrates how the pattern is converted into a geometric shape:

Small rhombicosidodecahedron from the set "Magic Edges"


Small rhombicosidodecahedron

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 Small rhombicosidodecahedron.
But the polyhedron itself will have through holes in place of pentagonal faces.

For assembly you need to use the details of the Magic Edges 27 kit.
In addition, in the issue itself you will find information about the structure of the polyhedron.

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