Each summer all over the world, gigantic and magnificent works of art appear in the dead of night in fields of wheat, barley, and other crops. These incredible works of geometric art are no small undertaking; their designs are often incredibly clever and inventive. In this groundbreaking book, world authorities Karen and Steve Alexander reveal the secrets that lie behind the spectacular designs, including sacred geometry, numerology, and other mystical concepts long forgotten in modern design. This edition, illustrated throughout with stunning color photographs from around the world, reveals the latest in crop circle phenomena.