How can we solve a pair of equations that have to be solved self-consistently (even by plotting them simultaneously) .
y = 1/2 + 1/\[Pi] ArcTan[c (0.5 - x)];
x = 1/2 + 1/\[Pi] ArcTan[c (0.5 - y)];
For c=0.5
we must have a plot as below one in which the vertical axis is y
and horizontal one is devoted to x
.
For c=Pi
we must have
InverseFunction[f][y]
I wanted to plot the second one (x vs y). For the second one the output plot is not symmetric relative to bisectrix of the first quarter of the coordination plate. $\endgroup$