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Icosidodecahedron

Icosidodecahedron 350

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.

Archimedes

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.

 

How a polyhedron is formed

preobraz dodek
 

The dodecahedron is transformed into the icosododecahedron by cutting 12 vertices.
The original side of the dodecahedron retains its pentagonal shape, but loses its area.

 side

 

Icosidodecahedron shape nets

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.

Icosidodecahedron 250
net Icosidodecahedron1
You can make a model of a polyhedron — the icosododecahedron — by downloading a net — a net of the icosidodecahedron. To do this you will need 1 sheet of A4

 

If you intend to print it on a color printer, download the color net.

net Icosidodecahedron2
You can make a model of a polyhedron — the icosododecahedron — by downloading a net — an icosododecahedron net. To do this you will need 1 sheet of A4

If you need to make a larger model, then the net will not be able to place on a single sheet of A4.

Icosidodecahedron2
net Icosidodecahedron3
To build the model, the following details will be required:
- 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

The polyhedra rotation

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:

Icosidodecahedron from the set "Magic Edges"

archimedean solids 19 400 2
To assemble polyhedra, we can offer you ready-made patterns that are cut and folded.
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.
 
Polyhedra, from the set Magic Edges No. 19:
 
Assembling a Icosidodecahedron from the set "Magic Edges"
 
Detailed assembly from Alexei Zhigulev (youtube channel - Origami)
 

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