Self Reproducing Machines

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DNA and Golden mean Information-package/condensedModules used to make the wholeConfiguration of system- Ratio and

proportion*Process ImpoweredMotionMetamorphosis

physical, chemical, time duration

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Self-Reproduction

-Copy of the original

-Imitation

-Reflection

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DNA The DNA molecule measures 34 angstroms long by 21 angstroms wide for each full cycle of the double helix spiral. 34 and 21 are Fibonacci numbers and their ratio closely approximates phi. DNA has two grooves in its spirals, with a phi ratio between the major groove and the minor groove (roughly 21 angstroms to 13 angstroms).

 *A number series closely related to the golden section is the Fibonacci sequence: it begins with 0 and 1, and each subsequent number is generated by adding the two preceding numbers:0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987 ...

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Golden section ratio

A Phi is something to look for such self reproducing machine.

The golden section is an irrational, or transcendental, number, meaning that it never repeats and never ends.

  If we take these numbers two at a time, and divide the larger one by the smaller one, the value will oscillate alternately above and below the golden section, while gradually converging on it. If we divide the smaller number by the larger number, the value converges on 1/φ (0.618.)

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DISTANCE

SC ALE

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XºINCLINATION

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Golden Ruler

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Fibonacci Fraction:leaves/spirals

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Arrangements

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Conclusion

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Self reproducingmachine

The object has a shape that has the same shape with inner side and the molecules will be distributedwhen the main object grows like a plant. I don't know how this should work or be done. But theidea is to make some thing which will grow filling the molecules and duplicating it self. I don’twant to say these are the molecules, method/casting, movements -I think this is something todiscover through time.

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Exploring Nature     The golden ratio appears in

pentagonal forms of symmetry, notably in the five-pointed star (or pentagram), which was the emblem of the Pythagorean brotherhood. Pentagonal symmetry abounds in living organisms, especially plants and marine animals (e.g. starfishes, jellyfishes, sea urchins). Flowers with 5 petals (or multiples of 5) include all fruit blossoms, water lilies, roses, honeysuckles, carnations, geraniums, primroses, orchids, and

passionflowers.

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Platonic isohedral configuration

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DNA and Golden Proportion Anywhere in a sequence of DNA, a contig of bases TCAG of which the

length is a number of Fibonacci : for example 144 bases.

If this section is subdivided, for the example treated here, in 55 bases T and 89 bases A or C or G... We will thus say that this unit constitutes a " re

" A resonance is thus a proportion between 3 successive numbers of Fibonacci. "

All combinative of other combinations is possible:

C versus AGT, A versus TCG, or G versus TCA by example.

One will insist on the fact that the relative positions of the bases inside this section are indifferent. It is before a a whole question of RATIO and relative PROPORTION.

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Convertor

Copy

Shapes and conversion