Similarity Transformation & Class
These two idols are similar. The one in front can be transformed into the rear one exactly by replacing all the red & green stones with white stones. Similarity Transformation is cited by the following expression, X -1 A X= B Description: X -1 , A, X, B belongs to a mathematical group, G. A is subjected to similarity transformation with respect to X. B is the similarity transformation of A. A and B are regarded as 'conjugate symmetry elements', The term 'conjugate' suggests 'similar'. And they belong to a class. Accordingly, the conjugate elements form a Class. In other words, A class comprises conjugate elements.
