# How to draw z^(i+2)

1. Jan 31, 2013

### alazhumizhu

For example :
z={z|0<=arg z<=(pi)/6}
Draw w=z^(i+2).
I can draw w=z^2 and w=z^i
But w=z^(I+2)is a holy garbagety

2. Jan 31, 2013

### chiro

Hey alazhumizhu and welcome to the forums.

You might want to consider drawing two three dimensional graphs (one for the real and one for the imaginary), or look at drawing individual "line segments" of the mapping and building up the visual intuition that way.

3. Jan 31, 2013

### joeblow

$$z^k=e^{k\log z}$$

Then you can find the image by composing these easier maps.