Complex Numbers: Rotation and Spiral Similarity Revisited

Explanations 3

• Rotating Complex Numbers When looking at complex numbers, a question might bug us. How do we rotate them about the origin? However, the answer is simple, even though it might el…

  By Eric Zhang, Expii Team

• Spiral similarity consists of rotating a point or image and dilating it. Suppose we want to rotate a complex number zzz by xxx radians around the complex number www, and the dil…

  By Vincent Huang

• Spiral Similarity Let us have a complex number zzz. Suppose we wanted to map zzz with the spiral similarity S(w,k,α)S(w, k, \alpha)S(w,k,α), for some complex number www. To do t…

  By Eric Zhang