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using Regular Polyhedra formula as analogy for Aufbau of Physics #1753 Atom Totality 5th ed
Posted:
Aug 27, 2013 5:04 PM


Now I believe I can make a analogy case of the Regular Polyhedra formula of Euler and apply it to the Ampere/Maxwell law as the Aufbau principle in atomic physics.
If you remember, the formula is
Characteristic = V  E + F = 2
Now one of the interesting features of the formula is that it can be used to prove there can exist 5 and only 5 regular polyhedra.
But the feature that I want to use it for, is the idea that you have S, P, D, F subshells and that they can hold 2, 6, 10, 14 electrons. So that the Ampere/Maxwell Law would be that S has 2 parallel wires of 2 electrons flowing parallel and attracting each other. The P has 6 parallel wires with 6 electrons flowing parallel and attracting one another.
So the building up of atomic electron structure follows a similar pattern to the building up of the 5 regular polyhedra.
Now in the below quote, some of the formulas did not copy and paste, so the reader should go to the website to see what is discussed.
 quoting from Wikipedia  http://en.wikipedia.org/wiki/Euler_polyhedron_theorem#Polyhedra
This result is known as Euler's polyhedron formula or theorem. It corresponds to the Euler characteristic of the sphere (i.e. ? = 2), and applies identically to spherical polyhedra. An illustration of the formula on some polyhedra is given below. Name Image Vertices V Edges E Faces F Euler characteristic: V ? E + F Tetrahedron
4 6 4 2 Hexahedron or cube
8 12 6 2 Octahedron
6 12 8 2 Dodecahedron
20 30 12 2 Icosahedron
12 30 20 2
 end quote 
Archimedes Plutonium ?http://www.iw.net/~a_plutonium ?whole entire Universe is just one big atom ?where dots of the electrondotcloud are galaxies



