Event Detail

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 ÔexamplesÕ 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.