Platonic Bodies

The Platonic bodies play a major role on the composition of cosmic structures, since they represent a system of arrangement, that appears as well in microcosmos, as in macrocosmos. Starting at the mineral crystallization, up to the motion of stars, star cluster, and galaxies.

At each scale they represent the principles of the elements, having nevertheless a special significance for specific composites, as for example in case of the Merkaba. That is from a geometrical view a body, that consists of two tetrahedrons, that are interlaced in a way, that the penetration body results in an octahedron.

The denomination „Platonic bodies“ goes clearly back to the Greek philosopher Platon, who can be seen from a current point of view as the originator of the idea, that matter of the visible cosmos is based on atomic structures.

About 360 B.C. he composed the „Timaios“, a text in form of a dialogue, that talks exactly about that idea: matter, with its constructive, atomic elements, consisting of triangles, that organise themselves in terms of Platonic bodies.

This idea is depicted in detail by Platon in his dialogue „Timaios“, but also wrapped up in a cited tale, that has been told to him at the time of his early life by an elderly friend of the family. But also this friend heard the tale from a close priest, who was member of a very special community.

A community, that has been founded 9.000 years earlier, at the time of the universal flood, to conserve the cultural and scientific achievements of Atlantis. Of course this is a matter of a literary construction, where it can be speculated on the true significance…

The model of atomic structures changed already several times since then, and still today it differs significantly from Platons idea. However, the question remains what he accurately meant with his depictions, because his approach is neither illegitimate, nor can it be dismissed…


  • 4 vertices
  • 6 edges
  • 4 areas (equilateral triangle)


  • 6 vertices
  • 12 edges
  • 8 areas (equilateral triangle)


  • 8 vertices
  • 12 edges
  • 6 areas (square)


  • 12 vertices
  • 30 edges
  • 20 areas (equilateral triangle)


  • 20 vertices
  • 30 edges
  • 12 areas (regular pentagon)

Comparison of the Platonic Bodies

Shapeequilateral trianglesquareequilateral triangleregular pentagonequilateral triangle
Dual Bodytetrahedronoctahedronhexahedronicosahedrondodecahedron
Tesselation Partneroctahedronhexahedrontetrahedron