just stumbled onto this thread; at work now so not much time to comment in detail..
but oh, wildcat, this is beautiful. It reminds me of Bertrand Russell's quote, about "the austere beauty of mathematics". And yes, it is about patterns.
INTP's complementary is ESFJ. no question about that.
beautifully done, wildcat. the imposition of order on seeming chaos. kudos from the elf.