Cell Language Theory, The: Connecting Mind And Matter

The Universality of the Irreducible Triadic Relation 387

“6x9” b2861 The Cell Language Theory: Connecting Mind and Matter

f g

F(n-1) F(n) F(n+1)

h

Figure 9.5 The Fibonacci triplet as a mathematical category. f = growth by a factor of F;

g = growth by a factor of F; h = growth by a factor of F^2. These mappings can be viewed

as representing the mechanisms of “replication with variation (RV)” that appears in bio-

logical development and evolution.

Table 9.2 Fibonacci numbers approaches the golden

ratio asymptotically.

n Fibonacci Numbers, F(n) F(n)/F(n – 1) ~ F

1 1

2 1 1

3 2 2

4 3 1.5

5 5 1.666666667

6 8 1.6

7 13 1.625

8 21 1.615384615

9 34 1.619047619

10 55 1.617647059

11 89 1.618181818

12 144 1.617977528

13 233 1.618055556

14 377 1.618025751

15 610 1.618037135

16 987 1.618032787

(Continued )

(Figure 9.3(d)), the composition of Mona Lisa (Figure 9.3(h)), and the

galactic spirals (Figure 9.3(l)).

It is interesting to note that the ratio, F(n)/F(n – 1), approaches the

golden ratio when n is greater than 10, as shown in Table 9.2.

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