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 Marching cube, which are referred to as a "cube", where each edge of this cube can be lengthened or shortened to deform the cube into a variety of other shapes. Corners of cubes can also be "pushed" or "pulled" to create crude curves. The what you see is what you get realtime editing has enabled level designers to add a lot of detail to maps, while reducing the time spent on actual creation. This is in contrast to traditional modern polygon soup 3D engines which take a model generated as an essentially random batch of triangles from an external modelling