Event Type:

Probability Seminar

Date/Time:

Thursday, February 12, 2009 - 06:00

Location:

Kidder 364

Abstract:

The earliest forms of mathematical reasoning were probably geometry and combinatorics. Both areas are rich in accessible patterns. (Think of the geometric demonstration that the triangle numbers are `n+1 choose 2' = n(n+1)/2.) We will show some simple patterns including tiling patterns, both random and deterministic. Examples are physical models such as Square Ice, Balanced Patterns, Substitution Schemes and other iterative models. Also, we will show methods (perhaps Ã”examplesÃ• is a better word here) of transforming patterns in hopes of better understanding and in search of patterns more amenable to rigorous thought and sound conclusions.