# Platonic Solids

# Platonic Solids

*Platonic Solids are the building blocks of all existence,*

including spiritual realties. … They encapsulate

our understanding of the universe.including spiritual realties. … They encapsulate

our understanding of the universe.

__The Science of the Platonic Solids __

There are only five solids that can be called platonic solids – the tetrahedron, the hexahedron or cube, the octahedron, the dodecahedron and the icosahedron. They are also called regular geometric solids or polyhedra and are 3D in shape. Each face of a Platonic Solid is the same regular sized polygon. The name of each shape is derived from the number of its faces – 4 (tetrahedron), 6 (hexahedron), 8 (octahedron), 12 (dodecahedron) and 20 (icosahedron). For each Platonic Solid, the same numbers of polygons or faces meet at each vertex or corner. Each Platonic Solid has a dual polyhedron.

**Crystal Platonic Solids**

*Definitions:*

♦ A *polyhedra* solid must have all flat faces (eg. Platonic Solids, prisms and pyramids), whilst a non-polyhedra solid has a least one of its surfaces that is not flat (eg. cylinder, sphere or cone).

*♦ Regular*means all angles are of equal measure, all faces are congruent shapes or equal in every aspect, and all edges are of equal length.

*♦ 3D*means that shape has width, depth and height.

*polygon*is a closed shape in a plane figure with at least five straight edges.

*dual*is a Platonic Solid that fits inside another Platonic Solid and connects to the mid-point of each face.

__Why are there only five platonic solids?__

*Note*: Two polygons do not build a solid angle.

__less than__360 degrees to get a closed solid shape.

*Note*: At 360 degrees, the shape would flatten out to form a plane.

A regular triangle has internal angles of 60°, so we can have:

♦ 4 triangles (4×60°=240°) octahedron or

♦ 5 triangles (5×60°=300°) icosahedron

*In a nutshell, it is impossible to have more than five (5),*

because any other possibility would violate simple rules about

the number of edges, corners and faces you can have together and

anything else adds up to more than 360 degrees at a vertex or corner.

because any other possibility would violate simple rules about

the number of edges, corners and faces you can have together and

anything else adds up to more than 360 degrees at a vertex or corner.

Other Interesting Symmetry Facts about Platonic SolidsOther Interesting Symmetry Facts about Platonic Solids

*Symmetry of Platonic Solids*

♦ Octahedron has 8 faces and 6 vertices

♦ Icosahedron has 20 faces and 12 vertices

*Symmetry of Mapping One Solid Into Its Reciprocal or Dual*

♦ If you connect the centre of all the faces of the Octahedron you get the Hexahedron

♦ If you connect the centre of all the faces of the Icosahedron you get the Dodecahedron

♦ If you connect the centre of all the faces of the Dodecahedron you get the Icosahedron

♦ The Tetrahedron is self reciprocating. That is, if you join the centres of the Tetrahedrons four faces you get another Tetrahedron.

__History of Platonic Solids__

*atoms of the universe*”. Others believe that the concept of a unified cosmology was well know as far back as at least Atlantas, some13,000 years ago. After the world cataclysm occurred that caused the destruction of this and other civilisations, those with knowledge began to come out from the safety of the underground. Eventually, as those with scientific knowledge emerged, the ‘big picture’ of the truth of these solids was lost. (Wilcock, 2002).

^{th}Century BCE knew of the tetrahedron, the hexahedron and the dodecahedron, learned from Egyptian Sacred Geometry. Plato (427-347 BCE) in his ‘Theaetetus’ dialogue, a discussion around the question “

*What is knowledge?*” that dates to about 369 BCE, added the octahedron and the icosahedron. Collectively, these five shapes became known as the Platonic Solids, after this ancient Greek philosopher. Struck by their beauty and rarity, he speculated that these five solids were the shapes of the fundamental components of the physical universe, what he called the “Theory of Everything”.

__tetrahedron__was the shape of

*fire*, because fire is sharp and stabbing.

__octahedron__was like

*air*, its miniscule components being so smooth that one could barely feel them.

*Water*was made up of

__icosahedra__, which are the most smooth and round of the Platonic Solids that flows out of one’s hands when picked up as if made of tiny balls.

*Earth*consisted of

__hexahedron__, which are solid and sturdy and highly un-spherical.

__dodecahedron__, left unmatched to one of the four elements, had twelve faces that Plato decided corresponded with the twelve constellations of the Zodiac and was the symbol of the

*ether or*

*universe or spirit*, writing, “

*God used this solid for the whole universe, embroidering figures on it”*.

__What Platonic Solids Mean for Current and Future Generations__

__Occurrence of Platonic Solids in Nature__

__Sacred Geometry____ and Platonic Solids__

*the study of the connections between proportions and forms contained in both the Microcosmic and Macrocosmic Dimensions with the purpose to understand the Unity and Oneness that underlines all Creation and life. These series of measurements and proportions ordain and organize for us our perception of time and space, as well as our temporary construct of reality. Sacred Geometry for us is a way to represent the Divine through from and shape. Through its conception of forms, it embodies the perfect marriage between the Earth and the Heavens, or physical reality with the energy of the Sacred”.*

*The Flower of Life symbol can be used as a metaphor to illustrate the connectedness*

of all life and spirit within the universe, an instrument of dialogue between

man and God, permitting us to find unity inside nature’s diversity.

of all life and spirit within the universe, an instrument of dialogue between

man and God, permitting us to find unity inside nature’s diversity.

__Metaphysical Aspects of the Platonic Solids__

__Hexahedron__

♦ Root Chakra

♦ Sits flat and firm, is solid and sturdy

♦ Key Function: grounding

♦ Reconnects energy to earth and nature

♦ Regaining refocus

♦ Removing tension and easing physical stresses

♦ Great for work, in car, children and pets.

__Icosahedron__

__Tetrahedron__

^{rd}Dimension

Octahedron

Octahedron

^{th}Dimension

__Dodecahedron__

^{th}and above) Chakras

__Crystals and the Platonic Solids__

**Summary**