What happens when this well-studied cube-like fractal is sliced on a diagonal plane? Try to predict the solution the puzzle before minute 3:25 in this video
From Simons Science News (find original story here).
The Menger Sponge, a well-studied fractal, was first described in the 1920s. The fractal is cube-like, yet its cross section is quite surprising. What happens when it is sliced on a diagonal plane? Try to predict the solution to the puzzle proposed in this video.
References:
The Menger Sponge (Wikipedia page)
Photo by Sébastien Pérez-Duarte
Related:
More videos from the Mathematical Impressions series.
See what we're tweeting about
BoraZ Why a Science Experiment Gone Bad Doesn't Make Me a Criminal http://t.co/1jWbYNgtqw BoraZ RT @jayrosen_nyu: Public television’s attempts to placate David Koch. http://t.co/Bpn8E6sH1W A devastating account ...
DrJudyStone And thank you for kind words and RTs on Lieberman post: @medskep @Claresy_Bear @LeighGTurner @kbellbarnett @scopedbylarry
Deadline: Jun 30 2013
Reward: $1,000,000 USD
This is a Reduction-to-Practice Challenge that requires written documentation and&
Deadline: Jul 30 2013
Reward: $100,000 USD
The Seeker desires a method for producing pseudoephedrine products in such a way that it will be extremely difficult for clandestine che
Powered By: 
YES! Send me a free issue of Scientific American with no obligation to continue the subscription. If I like it, I will be billed for the one-year subscription.
2 Comments
Add CommentIt is possible to visualize it quicker than the subsequent explanation in the video. If you wonder why the star is composed of regular triangles, you may look at minute 5:52. What is the shortest path connecting two opposite vertices of the cube and lying inside the sponge?
Reply | Report Abuse | Link to thisThis is nicely done content from Simons Science News! I prefer minutes 5:00-5:40, but I think it would be much clearer if each of the 'square' (rectangular) tunnels, and each of the rhombi slices, were differently colored. This would highlight the separate rhombus components of the six-sided star...
Reply | Report Abuse | Link to this