I have plotted now Second order spirals in polar coordinates of type:
: ( +-t^+-1/t)^ (+- 1/t)^+-(t)
: (+- 1/t)^+-(t) ^( +-t^+-1/t)
It seems many of them repeat each other, so only 8 different ar left(may be I missed a few, quite labourious task)-see attachment.
In the limit as t-> infinity, they all cross at point with an angle phi= arctan(1) on a unit circle.
So if y would have been imaginary axis, the coordinates of crossing point would be
e^i = cos1+i*sin1.
: ( +-t^+-1/t)^ (+- 1/t)^+-(t)
: (+- 1/t)^+-(t) ^( +-t^+-1/t)
It seems many of them repeat each other, so only 8 different ar left(may be I missed a few, quite labourious task)-see attachment.
In the limit as t-> infinity, they all cross at point with an angle phi= arctan(1) on a unit circle.
So if y would have been imaginary axis, the coordinates of crossing point would be
e^i = cos1+i*sin1.
