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
Cube 2: Sauerbraten episodic gameplay and deathmatches on multiplayer maps with AI bots instead of human opponents. Cube 2: Sauerbraten started as a redesign of the original "Cube" game engine. The "Cube 2: Sauerbraten" engine is written in C++ and OpenGL. "Cube 2: Sauerbraten" shares most of its design goals and philosophy with its predecessor, but using a new 6-directional heightfield (or octree) world model. Its first, developer-only, release was made on February 27, 2004. One of the latest releases, dubbed the "Justice Edition", debuted on July 19, 2010, adding two new player models, thirty new user-created maps, several new game modes, including