Theorem of the cube Theorem of the cube In mathematics, the theorem of the cube is a condition for a line bundle over a product of three complete varieties to be trivial. It was a principle discovered, in the context of linear equivalence, by the Italian school of algebraic geometry. The final version of the theorem of the cube was first published by , who credited it to André Weil. A discussion of the history has been given by . A treatment by means of sheaf cohomology, and description in terms of the Picard functor, was given by . The theorem states that for
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