I’m having a blasty-bast with Group Explorer today. How have I never played with this before!?
Complex analysis – the perfect subject for combining visual and analytic thinking. I just read “Visual Complex Analysis” by Tristan Needham, a basic book on complex analysis: lots of historical references, uncompromising explanations, lots of problem solving and plenty of beautiful illustrations!
I have this book. It is very good.
I can’t be the only one. Right?
Seem to be on a D_8 theme. Quite like this representation of D_8 with matrices with graphs to show what happens to a general point under action of each matrix. Of course, symmetries only work together on corners of a square: (a,a), (-a,a), (-a,-a) and (a,-a).
Actual and relative position plots. Position of B is fixed on the right hand side. Perpendicular shows the point of closest approach.