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, there was published an article in the magazine called "Quantum” which described how to make a stellated octahedron with the 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 part can be made of a cardboard. To assemble a polyhedron you will need 4 printed sheets of that model.

Stellated octahedron challenging task net

The fold lines are indicated by a dotted line.

The steps are as follows:

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

Pay. attention that red painted area should be inside the polyhedron, while the blue one is the outside

Stellated octahedron challenging task net

Attention that red painted area should be inside the polyhedron, while the blue one is the outside

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

Geometric dimensions* = 190 x 170 x 170 mm

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