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Luiz Soranço
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Wow
such calm
many smart dog
very cool
so awesome

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Luiz Soranço

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Tripy
 
Menger Sponge

This beautiful animated Gif, created by Reuben Thomas (http://www.functor.co/), is circulating on G+ without  significant information about what it is.

Let's see what it is.
It's Menger sponge, a particular 3D fractal, described for the first time in 1926 by Karl Menger, while he was exploring the concept of topological dimension. Menger sponge is the three-dimensional extension of the Cantor set and Sierpinski carpet.

The Menger sponge simultaneously exhibits an infinite surface area and encloses zero volume.

How it is constructed

According to Wikipedia, the construction of a Menger sponge can be described as follows:
1. Begin with a cube.
2. Divide every face of the cube into 9 squares, like a Rubik's Cube. This will sub-divide the cube into 27 smaller cubes.
3. Remove the smaller cube in the middle of each face, and remove the smaller cube in the very center of the larger cube, leaving 20 smaller cubes. This is a level-1 Menger sponge (resembling a Void Cube).
4. Repeat steps 2 and 3 for each of the remaining smaller cubes, and continue to iterate ad infinitum.
The second iteration will give you a level-2 sponge, the third iteration gives a level-3 sponge, and so on. The Menger sponge itself is the limit of this process after an infinite number of iterations.

Read here for knowing more:
http://en.wikipedia.org/wiki/Menger_sponge

Watch an interactive Menger sponge: http://www.mathematik.com/Menger/Menger2.html

Menger Sponge Animations: http://www.pure-mirage.com/html/Optimized%20Menger%20Sponges.htm

A level-3 Menger sponge built by students at Mississippi State University out of 48,000 folded business cards:
http://www.msstate.edu/web/phototemplate.php?Id=1737

Video: Trip inside a 3D fractal (Menger Sponge level 14)
Trip inside a 3D fractal (Menger Sponge level 14)

Read also the interesting post of +John Baez :
https://plus.google.com/u/0/117663015413546257905/posts/JTu5VdTLLst

#menger_sponge #fractal #fractal_geometry #mathematics
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Luiz Soranço

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+Henry Reich did a really awesome job explaining the not-so-obvious concept of gauge theory...I am not a physics graduated, but I think I managed to grasp the main concepts of the message...
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Luiz Soranço

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I don't usually post cat vids, but when I do they are in awesome slow-mo!
 
This is too awesome not to share.
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Luiz Soranço

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Para todos aqueles que acham que leis contra pirataria e ciberterrorismo não podem afetar em nada a vida da pessoa honesta porque "quem não deve, não teme"!
Atualmente eu participo de um curso no qual os professores tiram dúvidas da turma pelo Google Hangout...uma pena que os alemães não possam se benificiar disso por uma simples burocracia mal feita...
 
Hangouts on Air and Germany

I really really start to hate the laws in my Country. The never ending fight between Google, GEMA and Germany. I can't stand it anymore. Now only a step away of a public release of Hangouts on Air, it get even more frustrating for all German users.

Now that Google tied the HoA into the YouTube infrastructure to have access to the Content ID matching system, German users are not longer able to watch HoA streams on Google+. YouTube LIVE isn't available in Germany at all, which is streaming the new HoAs.

Okay, but we can still join HoAs, right? NO WE CAN'T
We are not even able to JOIN a Hangout on Air anymore.

No fun for Germany

This gets really ridiculous. I know that German laws and the GEMA are nuts and it's going to be a legal nightmare, but please can't you just agree to a deal. I can't understand why this is so freaking difficult.

I can't believe that we are more and more forced to use proxies or other workarounds to enjoy the internet.

/rant
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Luiz Soranço

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Simply WOW
 
Fire Rainbows
These colorful offshoots can often be seen during the summers of middle-latitude areas, such as most of the United States. What they actually are is a large halo of refracted light, and despite their nickname, they have nothing to do with either fire or rainbows. They only occur when the sun is at least 58 degrees above the horizon, when there are cirrus clouds in the sky that are filled with plate-shaped ice crystals. The refraction of light is always parallel to the horizon, and because the arcs are so big, only sections of them are ever commonly seen—which is why it can look like certain patches of cloud are on fire (or throwing a rave). The proper name for these things, in case you ever need to impress a scientist, is ‘circumhorizontal arc.’
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You can see the ionization going down and as soon as electricity finds a path it goes right back up in form of a stronger and more stable lighting! Amazing!
 
Lightning slowed down at 10,000 frames per second.
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This is one great illustration you will totally enjoy.

How big does the Sun look as seen from other planets in our solar system? And how does the planet's distance affect the way you see an object?

Enjoy this!
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Iararararaara...dorgas, mano!
 
Mandelbulber is an experimental application that helps to make rendering 3D Mandelbrot fractals much more accessible. A few of the supported 3D fractals: Mandelbulb, Mandelbox, BulbBox, JuliaBulb, Menger Sponge, Quaternion, Trigonometric, Hypercomplex, and Iterated Function Systems (IFS). All of these can be combined into infinite variations with the ability to hybridize different formulas together.

http://sourceforge.net/projects/mandelbulber/
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In his circles
189 people
Have him in circles
58 people
Elvis Henrique's profile photo
Edipo Crispim's profile photo
Homero Barrocas Soares Esmeraldo's profile photo
Tiago Freitas's profile photo
Francis Halley's profile photo
Nilton Bezerra's profile photo
Marcelo Amorim Menegali's profile photo
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