Nuclear physicist Allan Goff, a Californian who is in Bountiful this week visiting relatives over the Thanksgiving holiday, has written a new book titled "3-D Chess" and is encouraging Utah chess clubs and chess enthusiasts to try his new game.

Goff, 34, has spent the past 10 years as an officer in the U.S. Air Force and is currently stationed at McClellan AFB near San Francisco where he is doing radiochemical analyses in support of America's nuclear treaties.A lifelong chess enthusisast, Goff says he became fascinated by the idea of third-dimensional chess in the late 1960s and has been working on what he calls "a practical, reasonable 3-D chess game" ever since.

He has written complete rules for third-dimensional chess, designed a 10-level chess board and has designed new futuristic-looking chess pieces.

Goff has kept all the ordinary chess pieces of two-dimensional chess in his new game and has added one new piece, which he calls the Duke.

While he has redefined how the 3-D chess pieces move, players still have two-dimensional chesslike play, he says.

If it takes about two hours to play a game of regular chess, it takes about three or four times longer to play Goff's new game. But, he says, "You'll find the new game even more interesting and full of unusual surprises.

"We live in a three-dimensional world, so why shouldn't we play three-dimensional games, especially chess?" Goff said.

Goff is visiting local colleges and universities in the Salt Lake area and can be reached this week in Bountiful at 295-9182. His address in California is P.O. Box 121, Citrus Heights, CA 95610, and his phone number there is (916) 723-8073.