Locating the Lemniscate

Still more investigation into why ((-\frac{1}{2})! = \sqrt{\pi}). Now we are circling in on the real question, which is: what could it possibly mean to take a permutation of a fractional number of elements? At this point I am not recounting regular mathematics at all but instead just meandering around my own thoughts on the subject. Read on if that’s interesting to you, but be warned, this is more-or-less a stream of consciousness. If I find anything good I’ll summarize it later. Part four in a series: In