The root symbol (as a multi-valued function) returns the roots of unity (multiplied by a scalar). Which is like, the posterchild of imaginary symmetries. </peda

The root symbol (as a multi-valued function) returns the roots of unity (multiplied by a scalar). Which is like, the posterchild of imaginary symmetries. </pedantry> More seriously. The selling point of the triangle operator is that it highlights isomorphisms between the three more traditional operators as a cyclic group. Which is a symmetry, just not the commutativity that students might naively expect. So I suppose it's a double-edged sword. I agree that it sucks as an operator. Nonetheless, the video could help a lot of students.