1. Mehmet Kemal ER Seray ARSLAN
Platonic Solids
Mehmet Kemal ER
Seray ARSLAN

2. What is "Platonic Solids" ???

3. What is "Platonic Solids" ???
Five regular solids → Platonic Solids
Five regular solids:
equal sides
equal regular faces

4. Tetrahedron
Oktahedron
lcosahedron
Hexahedron
Dodecahedron

5. Tetrahedron
A tetrahedron has 4 equal triangle faces.

6. Octahedron
An octahedron has 8 equal triangle faces.

7. Icosahedron
An icosahedron has 20 equal triangle faces.

8. Hexahedron
A hexahedron (cube) has 6 equal square faces.

9. Dodecahedron
A dodecahedron has 12 regular pentagon faces.

11. Platonic Solids - Why Five?
In a nutshell, it is impossible to have more than 5, because any other possibility would violate simple rules about  the number of edges, corners and faces you can have together.

12. Euler's Formula
Do you know about "Euler's Formula"? It says that for any convex polyhedron (which includes the Platonic Solids) the Number of Faces plus the Number of Vertices (corner points) minus the Number of Edges always equals 2
It is written:
F + V - E = 2

13. Try it on the cube:
A cube has 6 Faces, 8 Vertices, and 12 Edges,
so:
= 2

20. References

21. Thanks for your attention 