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20 juillet 2013 6 20 /07 /juillet /2013 14:28

      the perfect sphere

 

 

Visit the website of J.C Perez for the latest findings.

 

www.golden-ratio-in-dna.blogspot.fr

 
(extract:
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.
       http://www.ncbi.nlm.nih.gov/pubmed/20658335 , full text in:
      tuned-by-the-Golden-Ratio-1-618 ).  ),
      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 
      to the intimate structure of atoms, quarks or Higgs boson (Gielen, 2012)
      1381976-7937512.html ).



      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 
      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 
       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 
      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

for mobiles: http://quarks-divided.over-blog.fr/m/article-pi-e-phi-the-perfect-sphere-119163067.html

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