James Mahoney, Portland State University

*Pattern or coincidence?: The strong law of small numbers *

slides

Broad areas of mathematics are devoted to discovering, describing, and proving the existence of patterns.
Sometimes the general formula for a pattern can be produced after observing just a few terms.
Conversely, sometimes a pattern holds for a very long time before a counterexample rears its head.
In this talk I will present to you a plethora of "patterns" that arise from peculiar places.
Your job will be to decide whether a pattern truly exists or if what you see is just a coincidence.
This is a great opportunity to test your mathematical intuition as well as to see some interesting problems.
Answers and explanations will be provided at the end, and there is a prize!