Doubling the cube given length times . In music theory, a natural analogue of doubling is the octave (a musical interval caused by doubling the frequency of a tone), and a natural analogue of a cube is three repetitions of the same interval. In this sense, the problem of doubling the cube is solved by the major third in equal temperament. This is a musical interval that is exactly one third of an octave. It multiplies the frequency of a tone by , the side length of the Delian cube. Doubling the cube Doubling the cube, also known as the Delian problem, is
The Cube Root of Uncertainty lush description and has a real love of calamity"). She noted that even the better stories were marked by "the sophomoric dark doom that most of us -- far less technically expert -- dealt with during our apprenticeships." The Cube Root of Uncertainty The Cube Root of Uncertainty is a collection of science fiction short stories by American writer Robert Silverberg, published in hardcover by Macmillan in 1970 and issued in paperback by Collier Books in 1971. No further editions have been issued. "Passengers" won the Nebula Award for Best Short Story and was nominated for the Hugo Award. Joanna