√π,
x 10^3 = 1772.45 ~ 24 B-chains unbound

__
.__

√π x10^3 = 56.05 ~ one B-chain bound

__ .__

√56 56 56 = 752.101 ~ half the R-chains

If these operations have sense, it remains for more advanced mathematicians to explain. What kind of geometry could correspond to the square root of π ?

—————————————————————————————

The similar parts of ams,
the backbone (B) part, make up a
separate coordinate axis, not governed
by codons. It gives a good reason
not to include them when studying
differentiation of R-chains. The
B-chains appear in the ES-chain
in groups of 6 (cf. the 4 codon
type groups?).

R

**|**

B-chains: (H)NH2—CH—COO(H)
= 74 A. Times 6 = 444.

Minus 1 H in the 4 ams Arg1,2 and Lys
(charged), plus Pro gives 443.

Total sum 1776 - 4H = 1772.

Groups
and condensations to bound B-chains
are shown in figure 6-1:

**Fig
6-1***:
Condensation of B-chains in groups
of six*

The
division of the 6 unbound B-chains
(444) in two intervals around the
middle of the ES-chain supports
the recognition of B-chains in this
chain and connects R-chains with the middle step

Interval 544 to 367 = 177
= 6 x 29,5, the NH2(+H)-CH-part of a B-chain,
and 367 to 100 = 267 = 6 x 44,5,
the COO(H)-part of this chain as illustrated
below. The decimal 0,5 may illustrate
the displacement of H in COOH to
N-group, charging both ends of B-chains.
After condensation there is balance
28-28 between the groups, times
6 = 168 - 168.

**Fig
6-2:***
Division of interval 444 as 6 B-chains*

(Interval
292 to 208, 5' - 3', = 84 = 1,5
x 56, the bound B-chain. 111, 1/4
of 444 = 1,5 x 74, the unbound B-chain.
Perhaps an aspect on why peptide
bonds go on as if always a half
was lacking?)

The number of B-chains from the exponent series was grouped in 6: Two of the number series giving the R-chains with the operation below are not enough for the B-chains:

544 + 208, x 2 = 1504 = 24 R-chains

544 - 208, x 2 = 672 = 12 B-chains bound

Should the first three steps in the exponent series eventually be read both forward and backwards, (as in the “triplet series 5-4-3 + 3-4-5 = 888, x 2 = 24 unbound B-chains à 74 A)? Eventually connected in some way with the opposite directions of R-chains in proteins? More about this triplet series in **file II: 15.**

It's often said that
**Asp -** or** Ala **- constitute
the elementary form of an ams.

Whole mass of
Asp R+B = 133 = interval 292 <—>159
in the ES-chain, its R-chain 59
is following interval, 159 - 100,
figure 6-3.

Number 74 for B-chains becomes a
secondary interval as Ala, R 15,
the secondary interval 44 - 59.
(Cf. that origin of Ala can be both
Pyruvate in glycolysis (2 x 44)
and Oxaloacetate (132) in citrate
cycle.

**Fig
6-3: ***
Asp-Ala, R-chains 59, 15*

A-base
135, /\ = 740740740...x10^{x}:
(Sign **/\** here for inversion.)

At the protein synthesis it is the
A-base as AMP that binds to B-chains
of ams and transports them to tRNAs.
Square of this number 1/135 gives
the "factor chain"

__ .__

1 x 54 = 54 ---> √ 54-86-96-84-50 = 74074,074074074...

2 x 43 = 86

3 x 32 = 96 370 / 5 = 74. Corresponding "factor chain" inwards = 235

4 x 21 = 84 = 5 x 47: 47 = R-chain of Cys which binds protein strings to more

__5 x 10 = 50__ complex structures.

Sum __370__

~ 5 x 74

Two
times the **inverted number of
the C-base 111** A gives 18 (~
H2O)
as periodic number, __180180180__...and
with one 10-power of displacement
it gives the difference* to inverted
A-base __560560560__..., the
bound B-chains à 56.

It looks like
a connection with the common **A-C-C-ends
of tRNAs** at which the ams get
attached, an intricate relation
between mass of codon bases and
ams where inversions appear as resonances
in a complementary field? Only random
associations?

*(Inversion
of the G-base as bound (150A) to
the period 66666..x10^{x} gives a difference to the inverted
A-base that only is a displacement
of one 10-power in the period 740740...
as if guiding the
move of tRNAs between positions
on ribosomes?)

**Another
association** **about ACC-ends
of tRNAs**:

Sums of ams (R)
with A- and C-contenting codons
in 1st and/or 2nd position:

A = **888+1**.= AA + AU + AG
+ AC + GA + CA + UA

C =** 444** = CC + CG + CA + CU + GC + AC +
UC,

These sums
happen to approximate numbers for
groups of B-chains. A- plus two
C-groups gives about the sum of
24 B-chains à 74 A. If the
ACC-ends of tRNAs eventually should
be part of a reference system, it
seems surely very intricate.

**Keto-/amino
polarity between bases:**

Peptide
bonds when O- and N-groups meet
from two ams remind of the keto-**/**amino
polarity between the bases U + G
versus A + C. Two groups of codons
divided by this polarity give sums
of ams R = 370, 5 x 74, -**/**+1
(Pair- + Cross-coded):

**UU + GG + UG + GU = 370 - 1
**

**AA + CC + AC + CA =
370 + 1**.

370, corresponding to 5 B-chains à 74 A

Number of different atoms in the B-chains unbound:

C 48 = 576 = 3 x 192

O 48 = 768 = 4 x 192 ...(Note C+ O ~1344, sum of bound B-chains.)

N 24 = 336

H = 96 -4 H (in Arg1, Arg2, Lys (charged) and in Pro)

*

To **N-Z-division
and H-atoms**.