I have seen a conformal mapping of z = x+iy in MAPLE, and it consists of horizontal and vertical lines in the Argand diagram (i.e. the (x,y)-plane).
On the Web I have read that a conformal map is a mapping, which preserves angles. My question is how this mapping is constructed? I.e., how is it that I find that the conformal mapping of z = x+iy is horizontal and vertical lines?