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Astronomy Picture of the Day -- Quantum Streampunk Fantasy Fractal Landscape
NASA ^ | December 30, 2013 | (see photo credit)

Posted on 12/30/2013 10:06:59 AM PST by SunkenCiv

Explanation: What strange world is this? Pictured above is no real place but rather a purely mathematical visualization of a generalization of a fractal into three dimensions. Classical fractal diagrams are typically confined to the two dimensions inherent in the complex number plane, demarking regions where an iterative function diverges. Recently explored additions expand the Mandelbrot set of fractals to three dimensions with prescriptions dubbed Mandelbox and Mandelbulb sets. The results are often visually stunning creations of virtual worlds with limitless detail, some of which you can fly through. Pictured above is one such mathematical fantasy, possibly reminiscent of some sort of steam-punkian, quantum-mechanical landscape.

December 30, 2013

(Excerpt) Read more at 129.164.179.22 ...


TOPICS: Astronomy; Astronomy Picture of the Day; Science
KEYWORDS: apod; astronomy; fractal; fractals; mandelbox; mandelbrot; mandelbulb; science
[Credit & Copyright: Jos Leys (Mathematical Imagery), Ultra Fractal]

1 posted on 12/30/2013 10:06:59 AM PST by SunkenCiv
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To: cripplecreek; brytlea; decimon; bigheadfred; KoRn; Grammy; married21; steelyourfaith; Mmogamer; ...
The Big One

2 posted on 12/30/2013 10:07:37 AM PST by SunkenCiv (http://www.freerepublic.com/~mestamachine/)
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To: SunkenCiv

Please, please, venture a guess as to what this APOD has to do with Astronomy?


3 posted on 12/30/2013 10:09:50 AM PST by plsvn
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To: plsvn

Picky, picky, picky. ;’)


4 posted on 12/30/2013 10:12:20 AM PST by SunkenCiv (http://www.freerepublic.com/~mestamachine/)
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To: SunkenCiv

Fractals are MUCH prettier in one dimenstion, IMHO!


5 posted on 12/30/2013 10:15:12 AM PST by Diana in Wisconsin (I don't have 'Hobbies.' I'm developing a robust Post-Apocalyptic skill set...)
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To: plsvn
Please, please, venture a guess as to what this APOD has to do with Astronomy?

The Mandelbrot set is much bigger than the entire physical universe. It is a universe of universes, infinite.

One could argue that those who explore it engaging in a type of astronomy, at least in an abstract sense.

In any event, I think that the type of curiosity that motivates one to explore the physical universe is probably related to the type of curiosity that motivates those who explore the Mandelbrot set.

6 posted on 12/30/2013 10:15:24 AM PST by Steely Tom (If the Constitution can be a living document, I guess a corporation can be a person.)
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To: shibumi

Ping


7 posted on 12/30/2013 10:29:10 AM PST by Salamander (Hey, Jack the Ripper, won't you come on over... hook me up to the power lines of your love...)
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To: plsvn

It’s an artist’s “abstract” construct depicting the degradation of present-day society, representing the collective suckling & draining of the Government teat ....


8 posted on 12/30/2013 10:31:41 AM PST by mikrofon (APOD vs LSD ;)
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To: plsvn
Please, please, venture a guess as to what this APOD has to do with Astronomy?

Just about everything in nature has a fractal dimension, from galaxies to coastlines.  Programs with fractal bases are what is used by CGI folk when they want to create a visualization of a fictional planet, because they look much more real than just about anything else.

In fact, folks have found fractals embedded in physical processes such as phase transitions from liquid to solid.

It's more relavant than you think, and besides, fractals look cool. :-)

I've played with mandelbulb before, but I really couldn't get anything cool out of it.

9 posted on 12/30/2013 10:50:07 AM PST by zeugma (Is it evil of me to teach my bird to say "here kitty, kitty"?)
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To: mikrofon

Looks to me like a 3-D image of the Obamacare Bureaucracy.

The big orb in the middle would be the Death Panel.


10 posted on 12/30/2013 10:54:05 AM PST by shibumi (Cover it with gas and set it on fire.)
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To: Salamander

Sorry - Ping to #10.


11 posted on 12/30/2013 10:55:09 AM PST by shibumi (Cover it with gas and set it on fire.)
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To: mikrofon; SunkenCiv; All
"It’s an artist’s “abstract” construct
depicting the degradation of present-day society,
representing the collective suckling & draining
of the Government teat ...."


12 posted on 12/30/2013 11:00:25 AM PST by musicman (Until I see the REAL Long Form Vault BC, he's just "PRES__ENT" Obama = Without "ID")
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To: shibumi

LOL, that works too ;)

Either way, we’re fract’ ....


13 posted on 12/30/2013 11:01:24 AM PST by mikrofon (Art POD)
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To: SunkenCiv

I was there once in the 70s.


14 posted on 12/30/2013 11:02:58 AM PST by blueunicorn6 ("A crack shot and a good dancer")
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To: musicman; martin_fierro; Charles Henrickson

That’s the thing about “art” — it’s not supposed to make sense ...


15 posted on 12/30/2013 11:06:29 AM PST by mikrofon (Eggnog "helps" ;)
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To: SunkenCiv

My daughter said that reminds her of the pictures she put in her school project on LSD. She had the second best project, but the guy with the project on mushrooms beat her.


16 posted on 12/30/2013 11:22:27 AM PST by DannyTN (A>)
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To: Steely Tom
Slightly, though not really aside, in Simon Singh's "Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem" pp 188-189, Japanese mathematician Goro Shimura says,

"I have this philosophy of goodness. Mathematics should contain goodness. So in the case of the elliptic equation, one might call the equation good if it is parameterized by a modular form. I expect all elliptic equations to be good. It's a rather crude philosophy but one can always take it as a starting point. Then, of course, I had to develop various technical reasons for the conjecture. I might say the conjecture stemmed from that philosophy of goodness. Most mathematicians do mathematics from an aesthetic point of view and that philosophy of goodness comes from my aesthetic viewpoint."

This then newly discovered relationship twixt elliptic equations and modular forms, seemed secondary to Shimura if it was not "good". In the sense that mathematics seems wedded to the structure of the universe, I for example, take this as strong evidence for God in existence, especially given the recent discovery of another separate "language" encoded deep within the DNA molecule itself. This sense of "mapping" via mathematics and physics seems to me to undercut randomness being from what Creation was wrought.

17 posted on 12/30/2013 11:52:58 AM PST by onedoug
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To: SunkenCiv

Gads, that’s hideous.


18 posted on 12/30/2013 11:55:16 AM PST by BenLurkin (This is not a statement of fact. It is either opinion or satire; or both.)
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To: SunkenCiv

If zits were lifeforms, there you go.


19 posted on 12/30/2013 12:09:29 PM PST by Rebelbase (Tagline: optional, printed after your name on post)
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To: SunkenCiv
Bad and repulsive on a bunch of levels, LOL!
And of course "Nuke it from orbit, it's the only way to be sure".
20 posted on 12/30/2013 12:23:28 PM PST by The Cajun (Sarah Palin, Mark Levin, Ted Cruz, Mike Lee, Louie Gohmert......Nuff said.)
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To: Steely Tom

mandelbrot...what does that have to do with almond bread?...darn I’m hungry!


21 posted on 12/30/2013 12:47:37 PM PST by gr8eman (How ya doin Bob?...Bitchen!)
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To: mikrofon

22 posted on 12/30/2013 1:10:28 PM PST by musicman (Until I see the REAL Long Form Vault BC, he's just "PRES__ENT" Obama = Without "ID")
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To: SunkenCiv; All

Go here for a simple explanation of fractals.
https://plus.google.com/+DanielEaton/posts/P1Dc5kBfAq6

I feel so much smarter now.


23 posted on 12/30/2013 1:36:17 PM PST by 1FreeAmerican
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To: mikrofon; shibumi

I think it’s The Lord Of The Dust Mites.


24 posted on 12/30/2013 1:44:58 PM PST by Salamander (Hey, Jack the Ripper, won't you come on over... hook me up to the power lines of your love...)
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To: DannyTN

I think I’ll put a YES cd in the player.


25 posted on 12/30/2013 2:10:35 PM PST by 21twelve (http://www.freerepublic.com/focus/f-news/2185147/posts 2013 is 1933 REBORN)
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