## Wednesday, November 08, 2006

### Applications For Verbogeometry

Shown above is a three-dimensional verbogeometric polyhedral

Applications for Verbogeometry

Neal Goldman, a mathematician has come up with a single verbogeometric polytope to analyze huge amounts of data. Business week online has recently published an article talking about Goldman’s polytope and you can access this article here. I was proposing someone write a polytope poem in my blog entry on August 14, 2006. Goldman’s polytope is not a poem but it can be viewed as a hyper-dimensional verbogeometric structure.

I would like to present an excerpt from the article to arouse your curiosity:

How do you convert written words into math? Goldman says it takes a combination of algebra and geometry. Imagine an object floating in space that has an edge for every known scrap of information. It's called a polytope and it has near-infinite dimensions, almost impossible to conjure up in our earthbound minds. It contains every topic written about in the press. And every article that Inform processes becomes a single line within it. Each line has a series of relationships. A single article on Bordeaux wine, for example, turns up in the polytope near France, agriculture, wine, even alcoholism. In each case, Inform's algorithm calculates the relevance of one article to the next by measuring the angle between the two lines.

Here is the link to the original article from business week online