Select
a complex number z = a + bi using the cursor and mousekey on the left
graphing window. The selected number is indicated by a cyan diamond.
Zero is indicated by a red diamond, and a straight line through 0 and
z is drawn in yellow. This number can also be selected by grabbing the
[a] and [b] sliders below. When the [a] slider is selected, a blue line
appears indicating the line along which z moves as a varies. When the
[b] slider is selected, a blue line appaers indicating the line along
which z moves as b varies.
On
the right graphing plane the image of the left hand plane under the
exponential map is drawn, with the red, cyan, yellow, and blue, corresponding
to the features drawn on the left plane.
Grab
the [t] slider to cause z to move from 0 to a + bi while ez
moves along a spiral from 1 to ea+bi.
©
2001 H. Hohn