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:
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:
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 :
#menger_sponge #fractal #fractal_geometry #mathematics
- professional Bartenders SchoolMixologist, 1985 - present
Skype - free video calling - Apps on Android Market
Make free Skype-to-Skype video calls, and call phones at Skype rates on the move Make free voice and video calls to anyone else on Skype, wh
Listen, Twitter: Demi Lovato and Demi Moore Are Two Different People - T...
Recent reports about Demi Moore being hospitalized for exhaustion have some folks on Twitter confused. It seems they're mixing up the 49-yea
Love in Action: Occupy Spoken Word Piece with Drew Dellinger
This video is a taste of the upcoming feature documentary, Occupy Love. "Our communities need us. We are all leaders. How could we ask for a
Betty White Celebrates 90th Birthday With Mary Tyler Moore, Other Pals
Moore, who had brain surgery last year, gets a standing ovation during the funny, moving birthday celebration special
5-Year-Old 'Toddlers & Tiaras' Star RIPS Fellow Toddler -- Y...
Humanity reached a new low last night ... when a 5-year-old "Toddlers & Tiaras" star TRASHED a rival 3-year-old beauty queen
Clothing, Toys, Electronics, Jewelry, Jaclyn Smith - Kmart.com
Shop Kmart.com for Brand Name Consumer Electronics & Appliances. Find Clothing & Apparel from Jaclyn Smith, Levi Strauss Signature &