What-If-Not: Complex Number Lyness Sequence
- Steve Phelps
This is the same iteration as before, but now, all the points are complex numbers. Point A is the first complex number in the sequence, and B is the second complex number in the sequence. Point K is the the complex number added in the numerator. Drag the ORBIT slider to reveal the points in the sequence one-by-one. Drag the STEP slider to reveal the order of the points in the sequence one-by-one.
- Are there any special values of A, B, or K?
- Are there any values of A, B, or K that induce a high degree of symmetry?