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Math

Ties of the Matrix: An Exercise in Combinatorics 51

Posted by timothy
from the hangman's-noose dept.
mikejuk (1801200) writes "The Matrix Reloaded started something when 'The Merovingian' wore a number of very flashy ties. The problem was that we thought we knew how many ways you can tie a tie. The number of ways had been enumerated in 2001 and the answer was that there were exactly 85 different ways but the enumeration didn't include the Matrix way of doing it. So how many "Merovingian" knots are there? The question is answered in a new paper, More ties than we thought [PDf], by Dan Hirsch, Meredith L. Patterson, Anders Sandberg and Mikael Vejdemo-Johansson. The methodology is based on the original enumeration and an interesting application of language theory. The idea is to create a programming language for tying ties and then work out how many programs there are. For single depth tucks there are 177,147 different sequences and hence knots. Of these there are 2046 winding patterns that take up to 11 moves, the same as the The Merovingian knot and other popular knots, and so these are probably practical with a normal length necktie."

Comment: Just extened the technology a little... (Score 1) 769

by ProjectArcturus (#46390933) Attached to: The Next Keurig Will Make Your Coffee With a Dash of "DRM"
...and this could be awesome for my workplace. We have someone who never ever removes their used K-Cup from the Keurig. Maybe I could blacklist their "Caribou Obsidian" K-Cups from the machine, or program it to only brew the tiniest mug size, hehehe Stick a micro-sd/data logging on it and I'll finally know what time they sneak in...

Comment: Data mining? Sure... but what about mobile foray? (Score 2) 149

by ProjectArcturus (#46336031) Attached to: Facebook Shuts Down @Facebook Email System
The Facebook phone flopped, or so I assume since I haven't heard about it in over a year. Think back to when it came out: Microsoft had the Live accounts back then, obviously there are your Google accounts for Droids, Apple iCloud accounts for iPhones, etc. If Facebook had more penetration into the cell phone market, maybe the idea of a Facebook-central account that starts off as your email makes more sense? Again, I knew little about the Facebook phone, so just conjecture. Buying WhatsApp seems to be a sign they're steering the ship in a slightly different direction, moving away from any hopes of the above.

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