PiMath.de Planetary Systems of the Earth 1
Classic Systems
  Copyright © Klaus Piontzik  
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German Version    

1.2 - Polyhedron models of the earth

At the end of the 19th century the geologists W.L. Green and A. de Lapparent compared the shape of the earth with a tetrahedron.

A similar comparison did in the sixties of the twentieth century B.L. Litschkow and N.N. Schafranowski with an octahedron.

Litschkow published a little later the model of a dodecahedron and an icosahedron for the earth shape.

In 1974 Nikolai F. Gontscharow, Wjatscheslaw S. Morosow and Walerij A Makarow published in the Russian magazine "Chimi-ja i Zisn" (chemistry and life, No. 3, March) the model of a dodecahedron of the earth.


tetrahedron Tetrahedron

end of 19. century
W.L. GreenA.
de Lapparent

octahedron Octahedron

In den 60. Jahre 20. Jh.
B.L. Litschkow
N.N. Schafranowski

icosahedron Icosahedron

in the 60. years of 20. centur

dodecahedron Dodecahedron

Nikolai F. Gontscharow
Wjatscheslaw S. MorosowWalerij
A. Makarow

1999 – S. Prumbach

Illustration 1.2.1 - 1.2.2 – polyhedron models of the earth  


These polyhedron models of the earth were developed primarily by geologists. There is only one body missing to receive a certain set from bodies.
cube There is only the cube missing to complete the Platonic solids. Platonic solids are regular bodies which are built up from regular bases.
There exist only 5 Platonic solids as shown here.
Illustration 1.2.3 – cube  

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 Planetare Systeme 1

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Der Autor - Klaus Piontzik