Fractal Science Documentaries
Consolidate all old fractal posts, Link to new ones
… LINK TO … (or consolidate in this post OR OTHER TWO main fractal posts)
-main- Fractals, Complexity, and Chaos Science (Complex Dynamics, Systems Theory, and Higher Math)
-main- Fractals and Chaos in Psychology, Biology, History, and Sociology
… LINK TO …
Fractal Cycles (or Fractally Leveled) in Mental and Natural Systems
Fractal Evolution (Also consider fractal dynamics of knowledge and learning process)
Fractal structure in Language, Plants, Nature, and the Universe (probably consolidate this one)
Weird Physics Ideas + Imagesites (consolidate and delete this one)
Psychedelic Fractal Dimensions (consolidate and delete this one)
Alan Watts describing fractal nature of universe (consolidate and delete this one)
Fractal Noise in Mind and Nature and the Concept of Deterministic Physical Law (probably consolidate and delete this one)
Holism, Visual Metaphor, and the Fractal Hologram of Geometrical Physics (consolidate here, keep title)
Is the Universe a Fractal Spiral? (consolidate here under same title)
Self-reference, Recursion, Fractality in Language and Conscious Life (consolidate here under same title)
Murray Gell-Mann: Beauty and Truth in Physics (probably consolidate at the bottom of page and delete it)
Benoit Mandelbrot – convert to a tribute page, link to tribute page
Secondary fractal posts to continue and decide placement for
LINK TO Nanotechnology and “Life as a Conquest of Dimensionality”
MOVE AND/OR DELETE MOST of this post … Thought Experiments of Multiversal Infinitude
The Fractal Nature of Nature, Wavy Line Graphs, and Social Prophecy
Link TO: Number and Geometry as the Union of the Finite and the Infinite
Transcendental Nouns are Finitizations of Indeterminate Fractal Complexity of Human Life, Jewish Qualities Names of God etc..
TOPICS IN THIS PAGE
BEST RELEVANT DOCUMENTARIES
FRACTAL MATH – COLORS OF INFINITY
THE STRANGE NEW SCIENCE OF CHAOS
THE SECRET LIFE OF CHAOS
COMPLEXITY AND CHAOS – ALL PARTS
Fractal Science – Hunting the Hidden Dimension (PBS) (upload myself and re-embed)
Quotes from Transcript:
KEITH DEVLIN: Classical mathematics is really only well-suited to study the world that we’ve created, the things we’ve built using that classical mathematics. The patterns in nature, the things that were already there before we came onto the planet—the trees, the plants, the clouds, the weather systems—those were outside of mathematics.
KEITH DEVLIN: Mandelbrot came along and said, “Hey, guys, all you need to do is look at these patterns of nature in the right way, and you can apply mathematics. There is an order beneath the seeming chaos. You can write down formulas that describe clouds and flowers and plants. It’s just that they’re different kinds of formulas, and they give you a different kind of geometry.”
BENOIT MANDELBROT: I can see things that nobody else suspects, until I point out to them. “Oh, of course, of course.” But they haven’t seen it before.
NARRATOR: You can see it in the clouds, in the mountains, even inside the human body.
KEITH DEVLIN: The key to fractal geometry, and the thing that evaded anyone until, really, Mandelbrot sort of said, “This is the way to look at things, is that if you look on the surface, you see complexity, and it looks very non-mathematical.” What Mandelbrot said was that…”think not of what you see, but what it took to produce what you see.”
RICHARD TAYLOR: Everybody thinks that mathematicians are very different from artists. I’ve come to realize that art is actually really close to mathematics, and that they’re just using different language. And so for Mandelbrot it’s not about equations. It’s about, “How do we explain this visual phenomenon?”
NARRATOR: Mandelbrot’s fascination with the visual side of math began when he was a student.
BENOIT MANDELBROT: It is only in January, ’44, that, suddenly, I fell in love with mathematics, and not mathematics in general, with geometry in its most concrete, sensual form—that part of geometry in which mathematics and the eye meet. The professor was talking about algebra. But I began to see, in my mind, geometric pictures which fitted this algebra. And once you see these pictures, the answers become obvious. So I discovered something which I had no clue before, that I knew how to transform, in my mind, instantly, the formulas into pictures.
BENOIT MANDELBROT (Yale University): I don’t play with formulas, I play with pictures. And that is what I’ve been doing all my life.
RICHARD TAYLOR (University of Oregon): The big question is, why did it take ’til the 1970s before somebody wrote a book called The Fractal Geometry of Nature. If they’re all around us, why didn’t we see them before? The answer seems to be, well, people were seeing them before. People clearly recognized this repeating quality in nature.
KEITH DEVLIN: There are all of these technical terms, like fractal dimension and self-similarity, but those are the nuts and bolts of the mathematics itself. What that fractal geometry does is give us a way of looking at—in a way that’s extremely precise—the world in which we live, in particular, the living world.
NARRATOR: Mandelbrot’s fresh ways of thinking were made possible by his enthusiastic embrace of new technology. Computers made it easy for Mandelbrot to do iteration, the endlessly repeating cycles of calculation that were demanded by the mathematical monsters.
NARRATOR: Designers and artists, the world over, have embraced the visual potential of fractals. But when the Mandelbrot set was first published, mathematicians, for the most part, reacted with scorn.
RALPH ABRAHAM: In The Mathematical Intelligencer, which is a gossip sheet for professional mathematicians, there were article after article saying he wasn’t a mathematician; he was a bad mathematician; “It’s not mathematics;” “Fractal geometry is worthless.”
BENOIT MANDELBROT: The eye had been banished out of science. The eye had been excommunicated.
RALPH ABRAHAM: His colleagues, especially the really good ones, pure mathematicians that he respected, they turned against him.
KEITH DEVLIN: Because, see now, you, you get used to the world that you’ve created and that you live in. And mathematicians had become very used to this world of smooth curves that they could do things with.
RALPH ABRAHAM: They were clinging to the old paradigm, when Mandelbrot and a few people were way out there, bringing in the new paradigm
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NARRATOR: The tests show that the eye does not always look at things in an orderly or smooth way. If we could understand more about how the eye takes in information, we could do a better job of designing the things that we really need to see.
RICHARD TAYLOR: A traffic light: you’re looking at the traffic light, you’ve got traffic, you’ve got pedestrians; your eye is looking all over the place, trying to assess all of this information.
People design aircraft cockpits, rows of dials and things like that. If your eye is darting around based on a fractal geometry, though, maybe that’s not the best way. Maybe you don’t want these things in a simple row. We’re trying to work out the natural way that the eye wants to absorb the information. Is it going to be similar to a lot of these other subconscious processes? Body motion: when you’re balancing, what are you actually doing there? It’s something subconscious and it works. And you’re stringing together big sways and small sways and smaller sways. Could those all be connected together to actually be doing a fractal pattern there? More and more physiological processes have been found to be fractal.
On the 10th of March, 2007, the weekly Science magazine New Scientist featured an article entitled “Is the Universe a Fractal?” on its cover. This was a follow-up of an earlier article in that same publication on August 21 of 1999, by Marcus Chown, entitled “Fractal Universe.” A further New Scientist article by Amanda Gefter entitled “Galaxy map hints at fractal universe” was published in June 2008.
Discovery Of Cosmic Fractals, Yurij Baryshev and Pekka Teerikorpi
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