Labels:graphics | graphic design | sketch | black and white | black | art OCR: Figure 12-19: Illustration of the Range of the Function v1 - z2 Here is a curious graph indeed for so simple a function! The origin is mapped to 1. The real axis segment [0, 1] is mapped backwards (and non-linearly) into itsell; the segment [1, +00] is mapped non-linearly onto the positive imaginary axis. The negative real axis is mapped to the same points as the positive real axis. Both halves of the imaginary axis are mapped into [1, +00] on the real axis. Horizontal Ines become vaguely vertical, and vertical lines become vaguely horizontal. Circles centered at the origin are transformed into Cassinian (half-)ovala; the unit circle is mapped to a (half-) lemniscate of Bernoulli. The outermost annulus appears to have ila suner edge at w on the real axis and ita outer edge at 3 on the imaginary axis, but this is another accident; the intercept on the real axia, for example, is not really al x 2 3.14. .. but at /1 - (3%)2 = v10 = 3.16 ...
