Wednesday, July 28th, 2010...6:37 pm

Getting graphic

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Today, a new header image (the old was simply the default image) appeared on this blog. It seems appropriate to explain the images as the collage is meant to represent the various ways I move mathematically. Let’s start at the left and move our way to the right.

Almost hidden in the lower left and upper right of the image is an image representing the World Wide Web. The original image is quite striking and comes from David Gleich. This image represents my research in web ranking.

The directed network comes from recent research on Twitter that includes both ranking and clustering. Here we see the status of 9 celebrity Twitter accounts in mid-July 2010. An array from celeb A to celeb B indicates that A follows B on Twitter.

The image in the center of the graphic combines teaching, performing and research. The graphic on the T-shirt is an image (believe it or not) of Marilyn Monroe. Her image is transformed using a function in polar coordinates! The mask on my face comes from the Mime-matics show. The piece is on applications of math where this character is dancing to music on an iPod. Math plays important roles in digital media. Finally, a basketball balances on my finger. My research in sports ranking has included the creation of mathematically-generated brackets for March Madness. This once research project now is also part of a unit I teach in modeling.

This image comes also from the Mime-matics presentation. The piece uses polygonal shapes to create various images from happy to angry. This image stems from the character trying too many pieces at one time!

The mathematical equations and this image come from my research in iterative methods and multigrid. This graph is the algebraic error of a linear system.

That’s it! Blog entries will, in time, make such connections stronger…but this unveils the symbolism of this image and some of the ways I explore mathematics.



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