We finally published the Winter Spring SUMMER(ish) edition of our department newsletter! This issue is named the Taniyama Times after Yutaka Taniyama (谷山豊 ) of the Taniyama-Shimura conjecture (proved by Andrew Wiles, and giving Fermat’s Last theorem as a wee little corollary).
This issue will admittedly hold less interest for non-alumni than most of our issues, since it’s primarily about where the Class of 2009 has been spending the past year. Still, it does contain the following fun problems to work on!
Problem 4.2.1: (2006 AMC10) If x◊y =x³—y, what is h◊(h◊h)?
Problem 4.2.2: Which fits better: a square peg in a round hole or a round peg in a square hole?
Problem 4.2.3: The figure below shows the first three circles in an infinite sequence. What is the total area of the circles? What is the total circumference?
Answers are welcome in the comments, and you might just be acknowledged in the next newsletter! [If we remember, which is sort of a risk since I’m right now remembering that we forgot to check that when we put together this issue.]