Representing geometry in SecondLife
Some comments on the suitability of SecondLife
as a way of presenting fractal geometry
Fractals, Chaos | |||||||||||||||||||||
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Representing geometry in SecondLife |
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POVRay Fractal Raytracing Contest
Rendering Wada-type basins of attraction |
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Fractal Dimension Calculator - FDC |
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Time exists so that not everything happens at once.
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By Gayla Chandler |
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Self similarity
Fractals and Computer Graphics |
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I wonder whether fractal images are not touching the very structure of our brains. Is there a clue in the infinitely regressing character of such images that illuminates our perception of art? Could it be that a fractal image is of such extraordinary richness, that it is bound to resonate with our neuronal circuits and stimulate the pleasure I infer we all feel?
P. W. Atkins
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Marketing idea: A potato chip in the shape of the Sierpinski gasket! | ||||
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Clouds are not spheres, coastlines are not circles, bark is not smooth, nor does lightning travel in straight lines. |
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"And are you not", said Fook leaning anxiously forward, "a greater analyst than the Googleplex Star Thinker in the Seventh Galaxy of Light and Ingenuity which can calculate the trajectory of every single dust particle throughout a five-week Dangrabad Beta sand blizzard?" | ||||
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I am so in favour of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that Nature makes frequent use of it everywhere, in order to show more effectively the perfections of its Author. | ||||
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Is the human story largely a deterministic tale of civilisations marching to Toynbee's tune, three and a half beats to disintegration, or did the hinge of history turn on the length of Cleopatra's nose? | ||||
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main(k){float i,j,r,x,y=-16;while(puts(""),y++<15)
for(x=0;x++<84;putchar(" .:-;!/>)|&IH%*#"[k&15]))
for(i=k=r=0;j=r*r-i*i-2+x/25,i=2*r*i+y/10,j*j+i*i<11&&k++<111;r=j);}
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Chaos: Bounded, deterministic dynamics that are aperiodic and display sensitive dependence to initial conditions. | ||||
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I believe the geometric proportion served the creator as an idea when He introduced the continuous generation of similar objects from similar objects. |
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The real world was full of larger structures, smaller structures, simpler and more complex structures than the tiny portion comprising sentient creatures and their societies, and it required a profound myopia of scale and similarity to believe that everything beyond this shallow layer could be ignored. |
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The Pale Blue Dot from Space - Earth
“That's here. That's home. That's us. On it everyone you love, everyone you know, everyone you ever heard of, every human being who ever was, lived out their lives. The aggregate of our joy and suffering, thousands of confident religions, ideologies and economic doctrines, every hunter and forager, every hero and coward, every creator and destroyer of civilization, every king and peasant, every young couple in love, every mother and father, hopeful child, inventor and explorer, every teacher of morals, every corrupt politician, every superstar, every supreme leader, every saint and sinner in the history of our species lived there - on a mote of dust suspended in a sunbeam.”
Carl Sagan
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Generating noise with different power spectra laws |
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Frequency synthesis of landscapes/planets (and clouds) |
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IFS generator
Random IFS Gallery |
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Sponge and Gasket |
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