Figure 7
Definition of category C. A simplistic definition of category C treating the traditional “central dogma” is presented. In practice, any selection of operations (morphisms) is permissible because composition within the category C using any of the three operations belonging to the ‘linear group’, ‘rotational group’ or ‘wallpaper group’ is considered possible. The morphisms f and h correspond to elements ‘Bm’ of group B, the only difference being the ‘T’s and ‘U’s. Actually, morphism j is regarded as part of morphism h (‘Rj†’s and ‘set R’ are also substitutable for ‘Rsj†’s and ‘set Rs’); all morphisms except for ‘τ’ an ‘g’ satisfy the group postulates, and are treated as operations of group B.