Showing posts with label fractals. Show all posts
Showing posts with label fractals. Show all posts

July 29, 2011

Scale invariance and self-similarity


When you get closer to people who are willing and able to open up they become more interesting and attractive, like zooming in on a fractal.

Of course, some people are going to be horrors nearly all the way in, and some can only talk, and lack the self-knowledge or experience to be open about anything of interest.

Zoom in on me and more often than not you'll get a flat, monochrome surface. Which is OK, but I ought to ask more questions of others and then listen to their answers.

Related post: Love as an emergent behavior

January 05, 2010

Fractals from roots


No real idea of the math behind it, but a great set of images via John Baez [click the name for full post], who writes:
My friend Dan Christensen has created a fascinating picture of all the roots of all polynomials of degree ≤ 5 with integer coefficients ranging from -4 to 4.
Sam Derbyshire then went on to investigate Chrtistensen's image, above, at a higher resolution and came up with several images, including the ones below, both of which can be clicked and enlarged. It seems like a very interesting environment to poke around in, and it's all real.


All posts tagged fractals.

November 13, 2009

Mandelbulb


A page with lots of images from a preliminary investigation into a 3D rendering of the Mandelbrot set. Beauty abounds.

October 12, 2009

Team DNA

Image of a fractal globule by Leonid A. Mirny and Maxim Imakaev
"We've long known that on a small scale, DNA is a double helix," says co-first author Erez Lieberman-Aiden, a graduate student in the Harvard-MIT Division of Health Science and Technology and a researcher at Harvard's School of Engineering and Applied Sciences and in the laboratory of Eric Lander at the Broad Institute. "But if the double helix didn't fold further, the genome in each cell would be two meters long. Scientists have not really understood how the double helix folds to fit into the nucleus of a human cell, which is only about a hundredth of a millimeter in diameter. This new approach enabled us to probe exactly that question."
3-D Structure Of Human Genome: Fractal Globule Architecture Packs Two Meters Of DNA Into Each Cell, ScienceDaily

Life is awesome.

September 27, 2009

Vistas of reality

The galaxy I Zwicky 18, originally thought to be a young galaxy, actually seems to have formed around the same time as most other galaxies. The bluish-white knots in the heart of the galaxy are two major star-forming regions.
Nasa / Hubble - image here, more here
The most merciful thing in the world, I think, is the inability of the human mind to correlate all its contents. We live on a placid island of ignorance in the midst of black seas of infinity, and it was not meant that we should voyage far. The sciences, each straining in its own direction, have hitherto harmed us little; but some day the piecing together of dissociated knowledge will open up such terrifying vistas of reality, and of our frightful position therein, that we shall either go mad from the revelation or flee from the light into the peace and safety of a new dark age.
H. P. Lovecraft, The Call of Cthulhu [full text]

July 27, 2009

Self similar and out of sight

Ringo playing bongos, Paul and someone else in the glass

When my friend John started going to the Bronx High School of Science, he was surprised to find that it contained the same cliques that his former, neighborhood school had had-- the jocks, the geeks, etc. He figured that because the student body consisted of all the geeks taken from other schools, he would only find geeks there. But no-- and when he got to know the school's Chess Team, the geeks among geeks, he saw that they paralleled the same divisions.

Humans and human groupings always seem to break down into the same archetypes, and this also seems to happen at all levels of granularity, from national character to impulses within an individual.

We are Fractal Sheep, Paul Spinrad

The post isn't very long, and the good stuff is mostly extracted above, but I like it a lot. I like it because I lean toward the society of the mind, but also because of the social aspects of the above, the similar iterations at all scales of the same types and conflicts. Think of The Beatles: the cute one, the quiet one, the smart one, the funny one.

Of course, those labels were too glib, they were all cute, quiet, smart and funny, but everyone gets labeled in a group, and everyone ends up playing a role or two. The self is socially constructed, which is why solitude has traditionally been a tool to break it, either as punishment or spiritual discipline.

From another angle, the perceptions others have of you are obviously the reality of how you're perceived. If the people who know you think that you're a jerk, then you're a jerk, and only a change in your behavior is likely to alter that perception to any significant degree among any significant number of people. And I write this as someone who has often, and with good cause, been seen as a jerk.

Plants have many qualities, but we tend to focus on only one or two for even species of considerable interest, defining them solely in those terms. The reality of all plants - and by extension, all animals, including [naturally] all humans - is far richer than perceived by even the most patient and generous observer. But somehow that doesn't seem to matter.