Now I propose to discuss on
FORM and SUBSTANCE:
-in Arts and photos,
-then in Spheres and Geometry,
-then in GENETICS
and the HUMAN GENOME !!!
these photos were realized by the french professional
photograph and filmmaker FLORENT MARCIE
a conference of JC PEREZ on DNA mystery background...
followed by a conference of jc perez on POINCARE fractal chaos background...
Now, more on
"FORM and SUBSTANCE"...
in HUMAN GENOME DNA...
In ( Perez J.-C. (2010). Codon populations in single-stranded whole human
genome DNA are fractal and fine-tuned by the golden ratio 1.618. -
Interdisciplinary
Sciences: Computational Life Sciences,
2: 1–13.
we showed that the population of the 64 codons of the
whole human
genome, when reorganizing the universal genetic table using the
successive transformed fractal “dragon curve”, self-organized codons
populations around 2 atttractors: 1 and (3-phi) / 2. When publishing
this paper, I, of course, been very interested in the presence of the golden
ratio phi in this rule seemed to be a real tuning of our genome.You
understand my surprise when I discovered that my paper and especially
the value 0.6909830056 is quoted in a web site dedicated
genome, when reorganizing the universal genetic table using the
successive transformed fractal “dragon curve”, self-organized codons
populations around 2 atttractors: 1 and (3-phi) / 2. When publishing
this paper, I, of course, been very interested in the presence of the golden
ratio phi in this rule seemed to be a real tuning of our genome.You
understand my surprise when I discovered that my paper and especially
the value 0.6909830056 is quoted in a web site dedicated
to the intimate
structure of atoms, quarks or Higgs boson (Gielen, 2012)
… (please
visit
http://quarks-divided.over-blog.fr/pages/Pi_e_Phi_and_
But
let us now look at the value
VOLUME SPHERE = 4 × PI (R * 3) / 3 =
1.381944838 ...
We see that it is very close to 3-phi = 1.381966011.
We deduce a
remarkable discovery: if the radius of a sphere is (3-phi) / 2 then the volume
of this sphere is 3-phi ... The error is only 0.0000211732501. Secondly,
we note also that
remarkable discovery: if the radius of a sphere is (3-phi) / 2 then the volume
of this sphere is 3-phi ... The error is only 0.0000211732501. Secondly,
we note also that
the SECTION of the
SPHERE is PI×R*2 = 1.499977019 = 3/2. The error
is 0.000022981.
Thirdly, we note that the surface of this
same sphere is
= SURFACE SPHERE = 4×PI×R*2 = 5.999908074 = 6 = 2x3
= SURFACE SPHERE = 4×PI×R*2 = 5.999908074 = 6 = 2x3
with an error =
6-5.999908074 = 0.000091926. Finally, the circumference
of the sphere is equal to 2 × PI × R = 4.341574268. Which is very close to
of the sphere is equal to 2 × PI × R = 4.341574268. Which is very close to
3
times the reverse of (3-phi) / 2, effectively: 6 ÷ (3-phi) =
4.341640786 then, the error is = 0.00006651754558.
In
conclusion: “A sphere of volume 3-phi has radius (3-phi / 2)
which
is half the same volume”.
Corollary:
a sphere whose volume is equal to the diameter,
the section is 3/2,
the circumference is 3 times the reverse of (3-phi) / 2
and the
surface is equal to 6 has a radius = (3-phi) / 2.
Finally,
if the radius of a specific sphere is (3-phi)/2
then:
the
diameter is 3-phi
the
circumference is 3 x ( 2/(3-phi)) ) 6 / (3-phi)
the
section is 3/2 = 6/4
the
surface is 6=2x3
and
the volume is … 3-phi
Then
to resume:
Sphere
geometry
|
Human
genome
single
stranded DNA
|
|||||||
formula
|
(3-phi)/2
|
3-phi
|
6/(3-phi)
|
3/2=6/4
|
6
|
3-phi
|
(3-phi)/2
|
(3-phi)/2
|
error
|
0
|
0
|
0.000066517
|
0.000022981
|
0.000091926
|
0.000021173
|
¯0.000993038463
|
¯0.000908846295
|
Sphere geometry
==========
geometry: radius diameter circumf. section surface volume
formula: (3-phi)/2 3-phi 6/(3-phi) 3/2=6/4 6 3-phi
error: 0 0 0.000066 0.000023 0.000092 0.000021
Human genome single stranded DNA
======================
DNAkind nucleotides codons
formula: (3-phi)/2 (3-phi)/2
Figure: The
(3-phi)/2 ratio in sphere geometry and human genome.
We
note particularly a kind of “NUMERICAL RESONANCE”:
effectively, ALL ratios are related to the same 3 basic initial numbers:
2, 3, and phi.Yes (3-phi) / 2 looks good on a universal value! Here are
the proportions of codons and nucleotides populations within the whole
single stranded human genome DNA !!!
effectively, ALL ratios are related to the same 3 basic initial numbers:
2, 3, and phi.Yes (3-phi) / 2 looks good on a universal value! Here are
the proportions of codons and nucleotides populations within the whole
single stranded human genome DNA !!!
YES!!!! (3-Phi) / 2 is probably a major
UNIVERSAL VALUE...
First I recall you that DNA is constitued by the 4 nucleotides T C A
and G...
and G...
Finally, I could say you this confidence:
In the human genome I could demonstrate that the unique coding
nucleotide is
the "G" base... of the double strand of DNA...
nucleotide is
the "G" base... of the double strand of DNA...
Then the C or G bases of the single stranded DNA...
C and G are the...FORM...
but,
What about T and A ?
What about T and A ?
They play the same rôle that
"the white of the paper sheet"
or "silence to music"...
T and A are the... SUBSTANCE...
"the white of the paper sheet"
or "silence to music"...
T and A are the... SUBSTANCE...
Then in the whole single stranded DNA, the ratio between C+G and
T+A is...
(3-Phi)/2...
T+A is...
(3-Phi)/2...
Here is the discovered and fabulous ratio between FORM and
SUBSTANCE...
between C+G and T+A in the billion codon of our whole human
genome...
or in the 3 billion TCAG nucleotides of this same human genome...
SUBSTANCE...
between C+G and T+A in the billion codon of our whole human
genome...
or in the 3 billion TCAG nucleotides of this same human genome...
Like in this magic SPHERE of 3-Phi Diameter and volume !!!!!!!!!!!!!!
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