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# Self Reproducing Machines

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### Self Reproducing Machines

1. 1. DNA and Golden mean  Information-package/condensed  Modules used to make the whole  Configuration of system- Ratio and proportion*  Process Impowered  Motion  Metamorphosis physical, chemical, time duration 26/10/09
2. 2. Self-Reproduction -Copy of the original -Imitation -Reflection 26/10/09
3. 3.  The DNA molecule measures 34 DNA 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 ... 26/10/09
4. 4. 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 and26/10/09
5. 5.   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.)
6. 6. 26/10/09
7. 7. SC ALE DISTAN CE 26/10/09
8. 8. INCLINAT Xº ION 26/10/09
9. 9. Golden Ruler 26/10/09
10. 10. Fibonacci Fraction:leaves/spirals 26/10/09
11. 11. Arrangements 26/10/09
12. 12. Conclusion 26/10/09
13. 13. Self reproducing machine The object has a shape that has the same shape with inner side and the molecules will be distributed when the main object grows like a plant. I don't know how this should work or be done. But the idea is to make some thing which will grow filling the molecules and duplicating it self. I don’t want to say these are the molecules, method/casting, movements -I think this is something to discover through time. 26/10/09
14. 14. 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 . 26/10/09
15. 15. Platonic isohedral configuration 26/10/09
16. 16. 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. 26/10/09
17. 17. Shapes and conversion Convertor Copy 26/10/09