In my previous post I asked the following question. What -values satisfy the equation ? More generally, let and . Let be the composition of with itself times. Similarly, let be the composition of with itself times. What are the solutions to ? First, let us look at some properties of the iterates of and . is periodic with…

# Month: March 2009

## Sines and cosines (part 1)

A friend asked me the following question. What -values satisfy the equation ? It occurred to me to ask a more general question. Let and . Let be the composition of with itself times. Similarly, let be the composition of with itself times. What are the solutions to ? Is it possible answer this question? Always? Sometimes? Never? I’ll post my…

## New graduation requirement

One of my colleagues sent me the link to the most recent comic at xkcd.com. He wrote: “College graduates should be required to say why this is funny as a condition of graduation, a part of numerosity.”

## Top 8 most popular polygons

Web surfers love lists—best Twitter apps, best albums, greatest films, world’s richest, best colleges (no, wait, we’re not supposed to like this list). So, I thought I’d serve up a list for my audience. The top 8 most popular polygons. My inspiration The idea for this list came to me while my kids were watching…

## Happy square root day!

Happy square root day! Today is the third of nine square root days this century. The first was January 1, 2001 (1/1/01), then February 2, 2004 (2/2/04). Today is March 3, 2009 (3/3/09). The last square root day of this century will be September 9, 2081 (9/9/81). Please act responsibly on this nerdy holiday and…