Euclid's Mathematics of polyhedron

Hello learners,

Hope you're doing well.

In this tutorial I'm​ going to share and explain some of the illustrated topics which had given a boost to various fields of MATHEMATICS and being explained and derived by a great Mathematician named

EUCLID: Polyhedron

sir Euclid was a great mathematician and physicist and had a great impact over other mathematicians​ of the same time, because of his sense of understanding the topic and providing Solutions of hard known problems

• He is also considered as Father of Geometry.

I've picked this mathematician to elaborate some of the explanation given by him, so let's start,

• Euclid's law for Polyhedrons-

      Euclid has given a concept for Polyhedrons that " there is some relation between vertices, edges and faces of any polygon and this relationship stands true for each Polyhedron" and this relationship can be 

• V + F = E + 2

• For any cube

 there is    V (vertices) = 8

                F ( faces )    = 6

                E ( edges)    = 12

then

 8 + 6 = 12 + 2

14      = 14

this relationship stands constant for any of the polyhedron

likewise 

• For triangular pyramid

there is V (vertices) = 4

                F ( faces )    = 4

                E ( edges)    = 6

then 4 + 4= 6 +2

            8    = 8

• for Square Pyramid / Rectangular Pyramid

there is V (vertices) = 5

                F ( faces )    = 5

                E ( edges)    = 8

then 5 + 5 = 8 + 2

             10  = 10

• Square/ Rectangular Prism

there is V (vertices) = 6

                F ( faces )    = 5

                E ( edges)    = 9

hence   6 + 5 = 9 + 2

                 11  = 11

so we've seen Sr Euclid has given a very useful concept for various 3D shapes/ polyhedrons

Hope you have found this post valuable.

Feel free to share with your Friends and seekers and share your valuable comments with others by commenting.