0.00 $
 0 item(s)

Truncated dodecahedron

Truncated dodecahedron

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

A truncated dodecahedron is a semiregular 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.

Archimedes

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

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

Video. The process of converting a dodecahedron to a truncated dodecahedron

Truncating 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

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

Truncated dodecahedron from the set "Magic Edges"

Truncated dodecahedron 350

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 27.
Also, in the release itself, you will find information about the structure of the polyhedron.

 

 

Detailed polyhedron assembly from Dmitry Alkhovik (youtube channel - Modelmen Life))

 

Detailed assembly from Alexei Zhigulev (youtube channel - Origami)

 

Detailed assembly from Andrei Lomakin (youtube channel - Sekretmastera)

 

Popular

The Kepler Star

The Kepler's Star (nor Keplerstjernen), 45 meters high, is located near Oslo in Gardemoen Airport. A huge...

Stellated octahedron - a challenging task

This is a new, very unusual way to create a star octahedron model. The polyhedron itself was...

Origami vs "Magic Edges" sets

This article will tell whether the “Magic Edges” can be attributed to a variety of origami. As the same...

Mathematical properties of the Platonic solids

One can specify the following mathematical characteristics in each of the five Platonic solids: 1....

Symphony of metal

Metal processing is a very complex process. But some masters can cut out polyhedrons from metal...

Polyhedron Chandelier

A suspended ceiling lamp, or simply a chandelier, has never been so close to exact mathematical...

Polyhedra made of ribbon

The article in “Science and Life” tells about an interesting way of making polyhedra....