This environment allows you to explore what happens when you raise a complex number to a power.[br][br]Drag the black dot to position the complex number Z = a + bi.[br][br]Show or hide the complex conjugate of Z, i.e. Z* = a - bi [br][br]Challenge - [br][br]Why are there spirals? How are the spirals of Z and Z* related? Why?[br][br]What is the circle and why is it there?