What is the minimum number of smaller cubes required to make a larger cube?
Cube 2: Sauerbraten vastly limited its performance on more modern hardware where memory bandwidth is a greater limiting factor. The most recent releases (starting with "CTF Edition") support a precomputed visibility system (PVS) for graphics cards that do not support hardware occlusion. "Cube 2: Sauerbraten" uses a 6-directional heightfield (or octree) world model. An octree, in Sauerbraten, is a cube that can be split into eight smaller cubes; those smaller cubes are also octrees, and can be subdivided further. This allows much more complex level geometry and easier editing. Each cube-shaped node in the octree represents a renderable volume, or a type of
Cube (algebra) if and only if one can arrange solid unit cubes into a larger, solid cube. For example, 27 small cubes can be arranged into one larger one with the appearance of a Rubik's Cube, since . The difference between the cubes of consecutive integers can be expressed as follows: or There is no minimum perfect cube, since the cube of a negative integer is negative. For example, . Unlike perfect squares, perfect cubes do not have a small number of possibilities for the last two digits. Except for cubes divisible by 5, where only 25, 75 and 00 can be