More on NFL Scoring

lions-johnsonAs the Detroit Lions prepare for their first compelling Thanksgiving Day game in 15 years, I thought I would revisit my pre-season hypothesis that scoring in the NFL would be down in 2011 due to the new kickoff rule.

A quick recap of my argument:  the new kickoff rule will result in more touchbacks, which will reduce overall starting field position, which will result in fewer points being scored.  An elementary analysis suggested that per-game scoring would be down by about 2 points per game.

The first two weeks of the season saw record-setting offensive production:  scoring was actually up by 2.5 points per game!  But now, with more than half the 2011 NFL season in the books, the average points-per-game is 44.07.  During the 2010 NFL season, the average points-per-game was around 44.16.

A TV analyst recently suggested that scoring decreases as the season progresses, due to factors like weather and injury.  Not only does this give me another idea for a math and sports analysis, it also gives me hope that perhaps my pre-season prediction may still come true!

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4.74 Degrees of Separation

This story in the New York Times summarizes a recently published study about interconnectedness on Facebook.

https://www.nytimes.com/2011/11/22/technology/between-you-and-me-4-74-degrees.htmlhttp://goo.gl/sqIVT

A computational analysis of the 721 million worldwide Facebook users shows that the average distance between two people is about 4.74 “friends”.   Roughly speaking, given anyone in the world on Facebook, a friend of your friend is likely to be friends with a friend of their friend.

An amazing result!  And a cool application of graph and network theory.  Now the questions becomes “What can we do with this knowledge?”

Math Photo: Anamorphic Art

At the Bridges Math and Art Conference, I was exposed to a wealth of fascinating mathematical and artistic ideas, like these anamorphic images by Jan W. Marcus.

The challenge for the artist is to produce an image on a flat surface that will appear rectangular when viewed on the surface of the cylinder.  My mind swirls with thoughts of vector projections and polar coordinates when I view these images.

Not to be outdone, Francesco De Comite created a three-dimensional curved sculpture that projects to a polyhedron on the surface of a sphere!

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