EXTREME ASYMMETRY AND CHIRALITY A CHALLENGING QUANTIFICATION

Symmetry operators must be defined relatively to a space and to a metric. Complex symmetries are typically considered in the case of the cartesian product of the Euclidean space by a space whose elements are tuples of colors. While interesting open problems exist in this field, challenging ones remain in the Euclidean case, without invoking colors. We present some of these problems in the case of extreme chirality figures and of extreme asymmetrical probability distributions.