Choose n different from 1
E1: Choose n = - 1
This is the inverse e- function. Compared to the function for n = 1, how is the image mirrored and rotated? (Open the simulation twice, and operate both with different n).
E2: What changes happens with the circular array for n = -1 ? Observe the accentuated points. Explain!
E4: Choose 1< n < 2 and set scales accordingly. Note the coordinates of accentuated points and compare them to the formulas.
E5: Choose 0 > n > 1.What happens to the direction of rotation and to the rotation angle for shifts parallel to the imaginary axis?
E6: How does the period in z depend on n?
E7: Repeat the experiments with integer and rational positive and negative values of n. Interpret the observations.