I seem to remember suggesting this book. However, seeing as I am still 20 pages or so from finishing I'll just put up some initial points for discussion:
Story number 1 seems to be the one that people remember and enjoy the most - why do you think this is and do you agree with them?
Story number 2 is a 'story within a story'. What is the real significance of its place within the context of the novel as a whole?
Story number 3 reads as a collection of randomly picked-up diary entries. Did you find the structure of this chapter was successful or not?
How did the tripartite nature of the book work for you and how successful do you think the connections were between each story? Did you enjoy the way Wolfe presents us with a series of linked puzzles?
The book seems to deal with a broad range of subjects - cloning, memory, mythology, oppression, colonization, to name just a few. Did you find a clear message in the book or is it just the work of a young writer who lacks focus?
** EXPECT PLENTY OF SPOILERS BELOW **