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Stellated octahedron - a challenging task

Stellated octahedron challenging task

This is a new, very unusual way to create a star octahedron model. The polyhedron itself was discovered in 1619 by the German mathematician and astronomer Johann Kepler.


In one of our previous articles, we told you about a challenging task to make a polyhedron having just six identical figures. In November 1984, an article in the magazine called "Quantum” described how to make a stellated octahedron with similar principles.

The author of the article, Igor Glushkov (from Obninsk, Russia), offers the following idea. The stellated octahedron (the other name: Kepler’s “stella octangula”) can be cut into 4 equal parts and get a challenging task out of it. The main aim is to assemble these parts to get a polyhedron. Download net.

Stellated octahedron challenging task net
Stellated octahedron challenging task net
Stellated octahedron challenging task net
Stellated octahedron challenging task net

Each of the parts can be made of cardboard. To assemble a polyhedron, you will need 4 printed sheets of that model.

Stellated octahedron challenging task net

A dotted line indicates the fold lines.

The steps are as follows:

  1. Print  4 sheets
  2. Cut out every item
  3. Glue every detail
  4. Assemble the polyhedron.

Stellated octahedron challenging task net

The red-painted area should be inside the polyhedron, while the blue one is the outside.

Stellated octahedron challenging task net
Finished model of the polyhedron - Stellated octahedron.

Geometric dimensions* = 190 x 170 x 170 mm

* - when using a model presented at www.polyhedr.com


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