I enjoyed this book quite a bit and found material I had never encountered before in any book.  In particular, these novel topics included: Schmidhuber circles (created by some very simple rules), the world's most forgettable license plate, calculating prodigy Rudiger Gamm, and several fascinating snippets on tic-tac-toe.<br><br>Pickover has a particularly interesting set of sections that introduce the reader to numbers like Conway's nimbers, octonions,  surreal numbers, and related. There's also quite a collection of mathematical constants to ponder: Apery's,  Brun's,  Chaitin,  Champernowne,  coincidental,  Copeland-Erdös,  Euler's gamma, Euler-Mascheroni, fine structure, golden ratio, infinite power tower,  Landau-Ramanujan, Liouville, Mandelbrot,  Mill's,  pi, and Thue.<br><br>Finally, the book is littered with great-looking formulas from Ramanujan.  Just how could Ramanujan have discovered these gems?<br><br>I liked some if the odd prime number contests and challenges, especially the "Triangle of the Gods," where Pickover had asked colleagues to find the first prime number in this interesting growing triangle:<br><br>1<br><br>12<br><br>123<br><br>1234<br><br>12345<br><br>123456<br><br>1234567<br><br>12345678<br><br>123456789<br><br>1234567890<br><br>12345678901<br><br>123456789012<br><br>1234567890123<br><br>etc...