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F ractals

Cantor Dust Sierpinski Carpet

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F ractals

Cantor Dust Menger Sponge

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F ractals

Koch Snowflake Menger Sponge

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B eyond the shadow of the ship,

I watched the water-snakes:They moved in tracks of shining white, And when they reared, the elfish lightF ell off in hoary flakes.

Within the shadow of the shipI watched their rich attire:B lue, glossy green, and velvet black,

They coiled and swam; and every trackWas a flash of golden fire.

Samuel Taylor Coleridge,The Rime of the Ancient Mariner , 4.272281

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R ows of chromosomes

Life forms as textuality

R ichard Dawkins, The Extended Phenotypegenotype phenotype

spider web

the whole of the gene pool of the biosphere is availableto all organisms

Kwang W. Jeon and James F . Danielli

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Life forms as textualityDNA

R NA world Sol Spiegelmanribosomes

ER V-3 (endogenousretrovirus)

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Life forms as textuality

Potato Tuber Spindle Viroid(contains 359 nucleotides)

Henkin sentence(there is a version of me in your sytem)

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Time-lapse animation of a geranium flower openingPhotograph Andrew Dunn, 31 July 2006.

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The ship was cheered, the harbour cleared,Merrily did we dropB elow the kirk, below the hill,B elow the light-house top.

The sun now rose upon the leftOut of the sea came he

And he shone bright, and on the right

Went down into the sea.

Samuel Taylor Coleridge,The Rime of the Ancient Mariner , 1.2128

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Przemyslaw Prusinkiewicz and Aristid Lindenmayer, The Algorithmic Beauty of Plants , with James S. Hanan, F . David F racchia, Deborah F owler,

Martin J. M. de B oer, and Lynn Mercer (Przemyslaw Prusinkiewicz, 2004);al orithmicbotan .or / a ers/.

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Przemyslaw Prusinkiewicz and Aristid Lindenmayer, The Algorithmic Beauty of Plants , with James S. Hanan, F . David F racchia, Deborah F owler,

Martin J. M. de B oer, and Lynn Mercer (Przemyslaw Prusinkiewicz, 2004);al orithmicbotan .or / a ers/.

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Przemyslaw Prusinkiewicz and Aristid Lindenmayer, The Algorithmic Beauty of Plants , with James S. Hanan, F . David F racchia, Deborah F owler,

Martin J. M. de B oer, and Lynn Mercer (Przemyslaw Prusinkiewicz, 2004);al orithmicbotan .or / a ers/.

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Prusinkiewicz and Lindenmayer, The Algorithmic Beauty of Plants algorithmicbotany.org/papers/

A comparison of the lastdevelopmental stage with a

validation photograph of a realgametophyte ( F igure 7.14) [aspecies of Australian fern] showsgood correspondence betweenthe model and reality withrespect to structure topology, therelative sizes and shapes of cells, and the overall shape of the thallus. This result isparticularly interesting from abiological perspective, since it

indicates that geneticallycontrolled cell division patternsplay an important role indetermining the shape of astructure. (p. 160)

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Algorithms

Muhammad ibn M s al-Khw rizm

Set of instructionsLike a recipe Automated

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B eyond the shadow of the ship,I watched the water-snakes:They moved in tracks of shining

white, And when they reared, the elfishlight

F ell off in hoary flakes.

Within the shadow of the shipI watched their rich attire:B lue, glossy green, and velvet

black,They coiled and swam; and

every trackWas a flash of golden fire.

O happy living things! no tongueTheir beauty might declare :

A spring of love gushed from myheart,

And I blessed them unaware :Sure my kind saint took pity on

me,

And I blessed them unaware.

The self-same moment I couldpray ;

And from my neck so freeThe Albatross fell off, and sankLike lead into the sea.

Samuel Taylor Coleridge,

The Rime of the Ancient Mariner , 4.272291

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