Title: Colective unconsiousness of Google Post by: Alef on December 26, 2012, 06:18:16 PM Google searching reveals many interesting things. Say, what is more popular nowadays.
There are certain fractals claiming of being 3D mandelbrot. If you google search for "3D mandelbrot" you 'll got nice model of version 3D mandelbrot. Not 3D print, however. And alsou you 'll found that from recent formulas as "3D mandelbrot" appears M Bennesi Mag Mandy (in my site). (http://www.deviantart.com/download/84305350/3d_mandelbrot_by_lyc.jpg) (https://lh5.googleusercontent.com/-VZf9WJ2Q-d8/UGdgTXTUPHI/AAAAAAAABr0/1ZQfvyf3jPM/s288/elephant%2520mandy%2520man2%2520mag2.jpg) Alsou quite an interesting is that first ever architectural 3D fractal is Sierpinski Tetrahedron. (http://www.sierpinskitetrahedron.com/images/sierpinski-tetrahedron-bobcat.JPG) (http://www.sierpinskitetrahedron.com/images/sierpinski-tetrahedron-fractal.JPG) Look here: http://www.anonymousd.com/fractal-shade-comolevi-2 (http://www.anonymousd.com/fractal-shade-comolevi-2) If you 'll search for "3D fractal" you 'll still found a versions mandelbulb. Somehow mandelbox hadn't rised up to google search, probably becouse most of mandelbox images aren't labeled as such. Search for "amazingbox" actualy don't gives lots of fractal images, probably the same reason as for mandelbox. Alsou buddhabrots appears as "3D fractals", probably cos they look as having 3D volume. Somehow "Ark of Covenant thread of 3D fractals" http://www.fractalforums.com/3d-fractal-generation/the-arc-of-covenant-of-fractals/?PHPSESSID=7e565454e66babb65411bfe6f4cd2f98 (http://www.fractalforums.com/3d-fractal-generation/the-arc-of-covenant-of-fractals/?PHPSESSID=7e565454e66babb65411bfe6f4cd2f98) rised pretty up in google search. Still, search for "fractal" mostly shows good old 2D. And I found first possible real use of 3D fractals, ultralight (3D printed) fractal structures could bear heavy loads: http://physicsworld.com/cws/article/news/2012/nov/27/ultralight-fractal-structures-could-bear-heavy-loads (http://physicsworld.com/cws/article/news/2012/nov/27/ultralight-fractal-structures-could-bear-heavy-loads) (http://images.iop.org/objects/phw/news/16/11/27/fractal1.jpg) And finaly alsou someone found some real use of such items as buisseness cards: http://inhabitat.com/usc-libraries-unveils-amazing-3d-fractal-model-made-of-49000-folded-business-cards/ (http://inhabitat.com/usc-libraries-unveils-amazing-3d-fractal-model-made-of-49000-folded-business-cards/) and here http://www.theiff.org/exhibits/sponge.html (http://www.theiff.org/exhibits/sponge.html) Title: Re: Colective unconsiousness of Google. Post by: Alef on December 26, 2012, 06:28:02 PM Some pretty girls by google. Found her by fractal saree:
(http://sareedreams.com/wp-content/uploads/2010/03/satya_paul_fractal-small.jpg) Title: Re: Colective unconsiousness of Google Post by: M Benesi on December 27, 2012, 03:39:58 AM The fractal shades are pretty cool. Nice to see unique practical uses for 3d fractals (Sierpinski tetrehedron in this case).
Pretty girls are always nice. Title: Re: Colective unconsiousness of Google Post by: Alef on December 30, 2012, 04:33:59 PM Here alsou I found site explainimng that golden ratio have absolutely no value. http://www.lhup.edu/~dsimanek/pseudo/fibonacc.htm (http://www.lhup.edu/~dsimanek/pseudo/fibonacc.htm) Quote Art and architecture. Some authors claim that artists and architects have throughout history deliberately incorporated f into the proportions of their work. And often-cited example is the Parthenon. One internet source says that the Greek letter "phi" is used for the golden mean because the Parthenon's architect was Phideas. Funny, we thought phi honored Fibonacci, since the first syllable of his name is pronounced "fi". But we must ask, if f was so important to Phideas, then Why did he incorporate it into the smaller end of the building only? Why is the rectangle of the floor plan in ratio 7/16 = 0.4375 with reciprocal 2.286? Wouldn't he have made the ratio f or its reciprocal? (There are some interior details of the floor plan that do happen to come close to the golden ratio, but none would be visibly apparent to anyone standing inside.) The parthenon sits on a hill, and none of its rectangular features are seen as rectangles from the ground. Phideas used columns that taper toward the top, giving an illusion often employed by architects. It makes the structure seem taller. Doesn't that defeat the supposed purpose of using the golden rectangle as the most attractive rectangle? Certainly, the often-repeated assertion that the Parthenon in Athens is based on the golden ratio is not supported by actual measurements. In fact, the entire story about the Greeks and the golden ratio seems to be without foundation. The one thing we know for sure is that Euclid, in his famous textbook Elements, written around 300 B.C., showed how to calculate its value. —Keith Devlin, mathematician. The reason f shows up in nature has to do with constraints of geometry upon the way organisms grow in size. Irrational numbers (those that cannot be expressed as a ratio of integers) are often revealed in this process. The well-known irrationals are Ö2, f, e, p and any multiples or products of them. To make matters more interesting, these are related. For example, phi is f = (Ö5 - 1)/2. And the Euler relation, eip = -1 relates e, i and p where i = Ö(-1). The natural processes that display irrationals are not governed or caused by f in order to achieve some desired purpose or result, but rather they are constrained by the geometry of the universe and the limitations imposed by that geometry on growth processes. Folks addicted to mystical mathematics are really motivated by a belief that there's something "magical" about certain combinations of numbers. They are obsessive pattern seekers. Pattern recognition can be a useful trait, if not carried to the point of believing that every perceived pattern represents something profound or mystical. (http://www.lhup.edu/~dsimanek/pseudo/parthe1.gif) ======================= This is End of Greatness. Very fractal (http://i1-news.softpedia-static.com/images/news2/The-Sloan-Great-Wall-and-the-End-of-Greatness-2.jpg) ====== This is cool stuff. http://www.youtube.com/watch?v=C9tOc47ceWQ (http://www.youtube.com/watch?v=C9tOc47ceWQ) |