Pure Source Theory

One Two Three Four Five

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


consider a directed acyclic graph where each node has 2 or more branches

then M(n) is the number of these graphs with n leaves

M(n) is cataloged at OEIS and a recursive formula is given.


Definitions

Source Theory

Applications

example of a collaborative game

we can imagine sources as human relationships

atoms are like people, molecules are like communities

Conjectures


Non Axiomatic
Honeycomb Trigonometry

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

Prime Factorization Visualization
Distributive Property Visualization
Largest Public Prime Number code reference

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