Pythagorean Approach in Chemistry – Triangle


Triangular forms of Table of D. I. Mendeleev’s Periodic law.

s-elements – red; p-elements – green; d-elements – blue; f-elements – yellow.

The only triangular numbers that are also tetrahedral numbers are 1, 10, 120, 1540, and 7140.

Triangular(1)  =   =  Tetrahedral(1)
Triangular(4)  =  10 = Tetrahedral(3)
Triangular(15)  =  120 = Tetrahedral(8)
Triangular(55)  =  1540 = Tetrahedral(20)
Triangular(119)  =  7140 = Tetrahedral(34)

Thus the triangular shape of the Periodic Table does not have the properties of fractals. Unlike tetrahedron, it is not a self-similar pattern for Periodic Law.

25.12.2016