After reading Robert Kanigel's biography of Ramanujan, I was inspired to do some "recreational research" on infinitely nested radicals. I eventually presented my results to the Pure Math Club at the University of Waterloo, during a Student Math Seminar. Slides from my presentation can be downloaded in LaTeX, Postscript, or pdf format.
I am indebted to a classmate, Brian Wong, for ideas, suggestions, and encouragement. Although most of the work presented is my own, Brian Wong contributed some important insights.
For further reading, consult these references (plain text) related to my presentation.
Prior to the presentation, some early results were posted here.