One could burn a great deal of thesaurus time searching for the right superlatives to describe this book. The third element in a series that will hopefully never end, it is an exciting combination of computer science, philosophy, and playfulness. Dr. Pickover can rightfully be labeled the "philosopher king" of the computer world.
As was the case in previous books, the primary focus is on the computer generation of images, but in this work the author skips down other avenues of mental exploration. Computer generated mazes, fractal music, fractal ant farms (think about whether the ants or the farms or both are what is fractal), caging fleas in Hyperspace, virtual reality, and strange chess problems are just some of the items that are discussed. Short pieces describing strange forms of art creation appear at regular intervals.
The only place where this reviewer thinks that the book stumbles is in the short science fiction story. However, it is conceded that this may be an instance of personal prejudice. This reviewer is a longtime reader of the genre, with an emphasis on the so-called big three of Asimov, Clarke, and Heinlein. It may be unfair to compare anyone to those three.
The level of difficulty resembles a sine curve. Some passages require a good deal of knowledge in the area of math/computers, while others can be understood by anyone. All topics are well referenced, so anyone who wishes to explore further will have no trouble doing so. Questions designed to initiate further thought occur at the end of each essay.
Whatever your background and interests, you will find something of value in this book and both of the two previous ones, "Computers, Pattern, Chaos, and Beauty" and "Computers and the Imagination." To paraphrase an old advertising slogan, "no one can read just one."
Published in Journal of Recreational Mathematics, reprinted with permission.