Rubik's Cube group by rotations of the centre pieces, the second solely by symmetries of the corners, and the third solely by symmetries of the edges. The latter two factors are examples of wreath products. The simple groups that occur as quotients in the composition series of the standard cube group (i.e. ignoring centre piece rotations) are formula_37, formula_38, formula_30 (7 times), and formula_31 (12 times). Rubik's Cube group The Rubik’s Cube group is a group formula_1 that represents the structure of the Rubik's Cube mechanical puzzle. Each element of the set formula_2 corresponds to a cube move, which is the effect of
Bateson's cube Bateson's cube Bateson's cube is a model of the cost–benefit analysis for animal research developed by Professor Patrick Bateson, president of the Zoological Society of London. Bateson's cube evaluates proposed research through three criteria: Bateson suggested that research that does not meet these requirements should not be approved or performed, in accordance with the Animals (Scientific Procedures) Act 1986. It is not intended as a formal model for optimal trade-offs, but rather a tool for making judicial decisions, since the three axes are not in a common currency. The third criterion also does not necessarily have to be medical benefit,