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Topic: using Regular Polyhedra formula as analogy for Aufbau of Physics
#1753 Atom Totality 5th ed

Replies: 1   Last Post: Sep 11, 2013 10:20 PM

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 plutonium.archimedes@gmail.com Posts: 18,572 Registered: 3/31/08
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 electron-dot-cloud are galaxies

Date Subject Author
8/27/13 plutonium.archimedes@gmail.com
9/11/13 Brian Q. Hutchings