Creative Seating Charts

Suppose an organization is hosting a banquet with tables numbered 1 through 12, and they are looking for a fun, math-y way to get guests to their assigned table.  So, when the guests arrive and find their name-card in the lobby, they must solve a simple math problem to determine their seating assignment.

It’s easy to figure out simple math problems whose answers are the numbers 1 through 12–the tough part is to do it in some uniform way, as with a theme.  For example, a past theme for this event was to use mathematical expressions that only involved the number 4:   thus, ( 4  /  4 ) would be table 1, or ( 4 ^ 4  – 4 / 4 )  /  ( 4 + 4 – 4 / 4 ) would be table x.

My suggestion was to have a string of two of the four letters A,B,C, or D on each card in some order.  A guest’s table number would then be that string’s position in the alphabetical order of all such strings (AB would be table 1, for example).

If you can think of something more interesting, the banquet isn’t until September.  But it’s really 60 tables, not 12.

Vuvuzelas and Surfaces of Revolution

Before the World Cup disappears forever (to me, four years = forever) , I must point out that the vuvuzela

reminds me a lot of the surface of revolution known as the Horn of Gabriel,

which is obtained by rotating the function y = \frac{1}{x} around the x-axis.  The curious thing about this surface is that it has finite volume but infinite surface area.

Thus, if this object existed in the real world, you could fill it up with a finite amount of paint, but you couldn’t cover the surface with a finite amount of paint.  If that means anything.

Player Evaluation

The New York Knicks have agreed with Amare Stoudemire on a 5-year, $100 million contract, which will likely be their only major acquisition during this much-hyped NBA free agent bonanza.  I like Stoudemire, but he strikes me as a player who, like many others, looks much better playing with Steve Nash than he’ll look with whomever the Knicks sign to play point guard.

Stoudemire can’t really create his own shot, so someone has to get Stoudemire the ball, and Nash gets scorers the ball as well as any point guard in the league.  Is Stoudemire going to look like a $20 mil / year player with Sergio Rodriguez setting him up?  As a longtime Knick-hater, I’m looking forward to 5 years of “No”.

It would be interesting and useful to quantify a player’s efficiency conditioned on whether a certain teammate is playing with him or not.  My hunch is that, for example, Stoudemire would look a lot less efficient playing without Nash than playing with him.  There is a basic evaluation of player-pairs here http://basketball-statistics.com/nbaplayerpairs.php, but these numbers don’t tell us how Stoudemire performs when Nash isn’t on the floor.

An effective analysis along these lines might have saved the Knicks some money.  In theory, anyway.

Numbers in the News Quiz — World Cup

soccer playerThrough Math for America I have been contributing to the New York Times Learning Network.  Here is a World Cup-themed math quiz I put together with a colleague, Gary Rubinstein:

http://learning.blogs.nytimes.com/2010/06/16/numbers-in-the-news-world-cup/

In addition, I also suggested some ideas for World Cup-themed math instruction:

http://learning.blogs.nytimes.com/2010/06/14/the-beautiful-game-teaching-and-learning-with-the-world-cup/

Check out my other contributions here.

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