Second-degree involutory symbolic substitutions - Clark Kimberling Suppose a,b,c are algebraic indeterminates. The mapping (a,b,c) -> (bc,ca,ab) is an example of a second-degree involutory symbolic substitution (SISS) which maps the transfigured plane of a triangle to itself. The main result is a classification of SISSs as four individual mappings and two families of mappings. The SISS (a,b,c)->(bc,ca,ab) maps the circumcircle onto the Steiner ellipse. This and other examples are considered. ✪ ✪ ✪ ✪ ✪ Link tải tài liệu: LINK TẢI TÀI LIỆU Theo LTTK Education
