Instead of starting from a time series with n number of samples I decided to
investigate the FT as the number of samples built, starting at zero and increasing. Of course there isn’t anything at zero, so I
start my plot by putting a small zero at the centre. Somewhere between zero and one is the event
horizon, a place you can’t see in to. You don’t get to see until the first
sample. If there is just one sample, the phasor plot appears as in The 1 Shell. The zero point is represented as a black circle, the samples as red dots. Wherever there is a sample I draw a line from the origin passing through and emanating from the sample dot. I call this the exclusion line. The circle tracing the path of the sample I call a shell, so The 1 Shell shows the 1 shell.