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Truncated dodecahedron

Truncated dodecahedron

The polyhedron is obtained by successively cutting off each of the vertices of the dodecahedron.

A truncated dodecahedron is a semi-regular convex polyhedron with two properties:
1. All faces are regular polygons of two types - a decagon 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.

Архимед

The truncated dodecahedron 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.

Video. The process of transforming a dodecahedron into a truncated dodecahedron

The truncation of all 20 vertices of the dodecahedron leads to the formation of a truncated dodecahedron. The pentagonal faces of the original polyhedron lose their area and are converted to decagonal faces.

Video. Build a polyhedron from a single net

Video from our partners - the team "ART KOSEKOMA", clearly demonstrates how the net is converted into a geometric shape:

Truncated dodecahedron net

The figure shows the net of a truncated dodecahedron:

net Truncated dodecahedron ris

In this case, we did not combine all the details into a single net, because if we print it on a single A4 sheet, the final scale of the assembled figure will be very small.

To build a model, you can download a net in pdf format and print on two A4 sheets. Please note that the sheets are the same!

- if you intend to print on a color printer - color net

- if you intend to use color paperboard: download net

 

 

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