Fractal forms found by using Google Earth
Readers are encouraged to contribute their own findings.
POVRay Fractal Raytracing Contest
Rendering Wadatype basins of attraction
Here's a party trick for over Christmas. Get 4 large shiny Christmas balls,
some coloured wrapping paper, some lights from the Christmas tree,
and you have you own fractal laboratory to amuse yourself with over
the festive season.
Fractal Dimension and Self Similarity
A particular box counting software package, Ruler or Compass Dimension,
Lacunarity, Multifractal spectrum, Recurrence plots, Self Similarity.
Examples of self similarity in fractals with examples from
mathematics and photos of the physical world.
Box counting fractal dimension of volumetric data
Time exists so that not everything happens at once.
By Gayla Chandler
Natural Fractals in Grand Canyon National Park
Fractals: A Symmetry Approach
Gasket Photography
Fractals and Computer Graphics
Interface Magazine Article
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





Marketing idea: A potato chip in the shape of the Sierpinski gasket! It would infinitely crispy but have zero calories.  















Clouds are not spheres, coastlines are not circles, bark is not smooth, nor does lightning travel in straight lines. Mandelbrot  















"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 fiveweek Dangrabad Beta sand blizzard?" "A fiveweek sand blizzard?" said Deep Thought haughtily. "You ask this of me who have contemplated the very vectors of the atoms in the Big Bang itself? Molest me not with this pocket calculator stuff." Douglas Adams  





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. Georg Cantor  




















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? Robert May  

























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*ri*i2+x/25,i=2*r*i+y/10,j*j+i*i<11&&k++<111;r=j);}  




















Chaos: Bounded, deterministic dynamics that are aperiodic and display sensitive dependence to initial conditions.  















I believe the geometric proportion served the creator as an idea when He introduced the continuous generation of similar objects from similar objects. Johannes Kepler  










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. Greg Egan, Diaspora  













 
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 SaganIntroduction to fractals
Generating noise with different power spectra laws
Including 1/f noise.
Fractal planets and landscapes:
Methods for creating fractal planets, landscapes, and clouds.
Including frequency sythesis and midpoint displayment and a
gallery of images created using Voxel World by Dmytry Lavrov.
IFS generator
Macintosh based IFS generator application and manual. Random IFS Gallery.
Sponge and Gasket
Description of two fractal objects and POVRay renderings by Angelo Pesce.


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