Bagel-nomics

bagelI have a natural tendency toward the quantitative side of things.  That, together with a substantial history of employment in the food service industry, has doomed me to forever over-analyze menu prices.

I recently realized that my local bagel shop has been charging me an outrageous premium for premium cream cheese.  The cost of a bagel is 95 cents, and a bagel with cream cheese is $1.90; these are pretty standard prices around town.

But here’s the kicker:  a bagel with scallion cream cheese at this place is $3.25.  That’s an additional $1.35–not for the cream cheese, mind you, but for the upgrade of scallion cream cheese over plain cream cheese.

Scallions.  Scallions are like onion weeds.  I buy a bundle of ten of them for 40 cents, use three of them, and then toss the rest, probably because they’ve wilted within two days of purchase.  They are expendable stalks at the bottom of the vegetable pyramid–savory and crisp, yes, but almost literally a dime-a-dozen.  If anything, scallion cream cheese should be cheaper than plain cream cheese, because whatever volume of cream cheese is being replaced by the scallions is almost certainly more valuable than the scallions themselves.

The guys behind the counter seemed sympathetic to my argument, but they still charged me $3.25.

New Digits of Pi

piA computer scientist at Yahoo has used “cloud computing” to find the most distant digits yet of pi’s decimal expansion.

This new approach to networking machines and processors, allowing them to act as one super-computer rather than, say, 100 individuals, allowed this record-setting calculation to be in 23 days when, under normal circumstances, it would have taken nearly 500 years.

Apparently a similar approach at Google resulted in verifying that every configuration of the Rubik’s cube can be solved in 20 moves or less.

Football Inequality

The 2010 NFL season is off to a mathematically interesting start.

The Jets, Patriots, Bengals, and Ravens each have played two games against other teams in that group of four.  The results can be organized like this (for example, the Bengals lost to the Patriots but beat the Ravens)

AFC East InequalityNow, if we interpret “wins the game” to mean something like “is better than”, and if we believe that “is better than” is a transitive relationship (i.e. “If A is better than B and B is better than C, then A is better than C”), then the Jets are better than every team in their division, including themselves!  Some might prefer to say that they are even worse than themselves.

It’s not easy producing mathematically consistent ranking systems, but it’s an interesting and useful problem, and the field is quite rich.

Insignificant Digits

No U TurnsAs someone with an affinity for numbers, I’m always conscious of how they appear around us.  And I’m always trying to decode the numbers I see:  what do they mean?  Why are they here?

It didn’t take much to figure out these numbers below these No U-Turns signs along the highway.  (It’s a bit blurry, but if you squint you can make out the 55.39 in yellow.)

After a couple of miles of confirmation, it was clear that the 55 corresponds to the highway’s mile marker.  So the 55.39 tells emergency vehicles the exact location of the U-Turn, 55.39 miles up the highway.

But is the .39 really necessary?  How much accuracy do we need in these measurements?  I can see wanting to avoid the confusion of naming it 55 (is it between 54 and 55, or 55 and 56?), but couldn’t we just call it 55.5 and save ourselves the trouble of the .39?

If the Highway Department has extra money to spend, how about new speed limit signs?  Rounded the nearest integer, please!

Related Posts

Meet the Egg-Bot

egg-botThis is pretty awesome:  an assemble-yourself perhipheral that allows you to draw on spherical/ellipsoidal/other objects:  the egg-bot!

http://egg-bot.com/

Plug it in to your USB port, render your drawing in a freeware illustration program, and voila!  And it’s open-source:  both hardware and software.

There are so many interesting things that could be done with the egg-bot:  sketching grid lines on ellipsoids to illustrate parametric surfaces, investigating how projection affects map-making, graphing closed-curves on golf balls, or maybe just creating the greatest Easter Eggs in human history.

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