0.00 $
 0 item(s)

Stellated octahedron - a challenging task

головоломка звёздчатый октаэдр

A new and unusual way of making a model of Stellated polyhedron was discovered by a German mathematician and astronomer Johannes Kepler in 1619. 

 

деталь головоломки вид №1

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 stellate octahedron with the similar principles.

деталь головоломки вид №2
деталь головоломки вид №3

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

деталь головоломки вид №4
 
развертка детали головоломки

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

все детали головоломки
Звёздчатый октаэдр
Assembled model of the polyhedron - Stellated octahedron.

Geometric dimensions* = 190 x 170 x 170 mm

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

Popular

How to master stereometry?

In geometry the section which deals with three-dimensional figures is called stereometry. The word...

Natural polyhedra

In natural environments regular polyhedra can be found in the form of crystals (minerals). Sodium...

Dual pairs of polyhedra. Part 2

What is the relationship between an octahedron and a cube?

Polyhedron as an emblem of the town

The founders of the town called Mirniy, situated in Russia in Arkhangelsk region, put an image of...

Children's playground

Summer is the time that you want to spend outdoors. Children will sit at the desk in September,...

Polyhedra in architecture. Part 3. The Lighthouse of Alexandria

The Lighthouse of Alexandria, one of the Seven Wonders, was built in the 3d century BC in an...

Mathematical properties of the Platonic solids

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