Amazon.com (ISBN 0195142411, Paperback)

Clifford Pickover is IBM's Renaissance-guy-in-residence. His job is to play with cool ideas--time travel (Time: A Traveler's Guide), extraterrestrials (The Science of Aliens), and the line between genius and crackpot (Strange Brains and Genius). His latest game is an oldie but goodie: trying to imagine the fourth dimension.

Like a number of his other books, Surfing is structured as a fiction, in this case an X-Files romance--Pickover clearly has a deep and personal appreciation for Scully (whom he calls "Sally," presumably on advice of counsel). You, dear reader, are the FBI's chief investigator of four-dimensional phenomena. As you and your cohorts chase bizarre manifestations from "upsilon" (4-D up) and "delta" (4-D down), Pickover provides explanations, paradoxes, and problems, with many helpful drawings and computer-generated illustrations.

Pickover's book, like every work on higher dimensions, is something of a sequel to Edwin Abbott's classic story, Flatland. Like Abbott, Pickover doesn't just look at the mathematics: "I want to know if humankind's Gods could exist in the fourth dimension." Not for the theologically squeamish, this book is lively, provocative, outrageous, and fascinating. --Mary Ellen Curtin