1. Platonic Solids

2. PLATO
"Let no one destitute of geometry enter my doors."

3. Plato was a Classical Greek philosopher ,mathematician, writer of philosophical dialogues, and founder of the Academy in Athens, the first institution of higher learning in the Western world . Along with his mentor, Socrates, and his student, Aristotle, Plato helped to lay the foundations of Western philosophy and science. Plato was originally a student of Socrates, and was as much influenced by his thinking as by his apparently unjust execution.

4. Platonic Solids
The so-called Platonic Solids are regular Polyhedra. “Polyhedra” is a Greek word meaning “many faces.” There are five of these, and they are characterized by the fact that each face is a regular polygon, that is, a straight-sided figure with equal sides and equal angles:

5. Tetrahedron
4 Faces
4 Vertices
6 Edges

6. Cube
6 Faces
8 Vertices
12 Edges

7. Octahedron
8 Faces
6 Vertices
12 Edges

8. Dodecahedron
12 Faces
20 Vertices
30 Edges

9. Icosahedron
20 Faces
12 Vertices
30 Edges

10. The elements linked to the Platonic Solids
Plato associates four of the Platonic Solid with the four elements.
He writes:
“We must proceed to distribute the figures [the solids] we have just described between fire, earth, water, and air. . .
Let us assign the Cube to earth, for it is the most immobile of the four bodies and most retentive of shape
the least mobile of the remaining figures (Icosahedron) to water the most mobile (Tetrahedron) to fire the intermediate (Octahedron) to air
Note that earth is associated with the cube, with its six square faces. This lent support to the notion of the foursquaredness of the earth.

12. Platonic Solids in Art
Many painters have used platonic solids in their paintings. Some of them are Leonardo Da Vinci, Albert Durer, Lucas Pacioli, Escher, Salvador Dali and others.

13. Leonardo Da Vinci

14. Salvador Dali
Sacrament of the Last Supper
Christ Crucified

15. Luca Pacioli
JACOPO DE 'BARBERI

16. Escher

17. Miriam Escofet
the five platonic solids

18. Kepler
Model of Universe

19. Durer
St Jerome in his Study
Melancholia

20. Paladino

21. Students of Class A of the Experimental General High School of Mytilene of the Aegean University:
Filitsa Kougioumtzoglou
Antony Katsoulas
Leuteris Katsoulas
Polina koutsovili
Ralitsa Mitova