Gordon LeCompte Bolmer

Quadrunomial Arrays

Definition
of the Tetrahedral Array Basic Unit

The (d) or d* corresponds to the original "d"; both, taken together, count as only a single term.

Quadrunomial Arrays, q_n = (a+b+c+d)ⁿ;
Coefficients:

q0	1	1 cell, 1 term
q1		4 cells, 4 terms
q2		16 cells, 10 terms
q3		64 cells, 20 terms
q4		256 cells, 35 terms
q5		1024 cells, 56 terms
q6		4096 cells, 84 terms
	[et cetera, ad infinitum]

Quadrunomial Arrays, q_n = (a+b+c+d)ⁿ;
Term Signatures:

q0	1	1 cell, 1 term
q1		4 cells, 4 terms
q2		16 cells, 10 terms
q3		64 cells, 20 terms
q4		256 cells, 35 terms
	[et cetera, ad infinitum]