Menger sponge
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In mathematics, the Menger sponge is a fractal curve. It is a universal curve, in that it has topological dimension one, and any other curve (more precisely: any compact metric space of topological dimension 1) is homeomorphic to some subset of it. It is sometimes called the Menger-Sierpinski sponge or the Sierpinski sponge. It is a three-dimensional extension of the Cantor set and Sierpinski carpet. It was first described by while exploring the concept of topological dimension.
- Related: Koch snowflake, Apollonian gasket
Menger sponge at Wolfram MathWorld Menger sponge at Wolfram MathWorld mathworld.wolfram.com/MengerSponge.html - Web |
The 'Business Card Menger Sponge' by Dr. Jeannine ... The 'Business Card Menger Sponge' by Dr. Jeannine Mosely - an online exhibit about this giant origami fractal at the Institute For Figuring theiff.org/oexhibits/menger01.html - Web |
An interactive Menger sponge An interactive Menger sponge www.mathematik.com/Menger/Menger2.html - Web |
Gallery for «Menger sponge»
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Fractal polyhedra Fractal polyhedra ibiblio.org/e-notes/VRML/Poly/Poly.htm - Web |
Puzzle Hunt Puzzle Hunt santisan.free.fr/coco/extras2.htm - Web |
Menger Sponge Assembly Menger Sponge Assembly www.flickr.com/photos/84445194@N00/sets/72157594256801666/ - Web |
Menger Sponge Animations Menger Sponge Animations www.pure-mirage.com/html/Optimized%20Menger%20Sponges.htm - Web |
L3 Menger Sponge with business cards 2006 L3 Menger Sponge with business cards 2006 www.cornellcollege.edu/mathematics/ - Web |
Level 3 Menger Sponge made of Business Cards Level 3 Menger Sponge made of Business Cards www.msstate.edu/web/phototemplate.php?Id=1737 - Web |
Menger sphere Menger sphere www.flickr.com/photos/fpsunflower/337024546/ - Web |
Post-It Menger Sponge Post-It Menger Sponge www.flickr.com/photos/rougeux/sets/72157621702780335/ - Web |
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The Mystery of the Menger Sponge. The Mystery of the Menger Sponge. www.nytimes.com/2011/06/28/science/28math-menger.html?_r=1 - Web |
Number of cards required to build a Menger sponge ... Number of cards required to build a Menger sponge of level n in origami. oeis.org/A212596 - Web |