Pure Source Theory

One Two Three Four Five

Six Generation

M(n) is the collection of molecules associated with the number n.

M(1)=1, M(2)=1, M(3)=2, M(4)=5, M(5)=12, M(6)=34 is the collection of molecules associated with the number n.

Code to check the sequence: source generator code

Corresponds to OEIS A196545


Definitions

Source Theory

Applications

we can see addition more generally than just a string like "1+2+3", because the "glue", meaning the addition operator no longer needs to be linear

we can imagine sources as human relationships

atoms are like people, molecules are like communities


Prime Factorization is a difficult algebra problem because the number of variables we are solving for is unknown.

Prime Factorization Visualization
Distributive Property Visualization

Are decomposition charts like below for sources of 5 atoms always planar graphs when the sources have more than 5 atoms?