Apparently an invention by a humorist called Lewis Burke Frumkes in Harper's magazine of December 1976. (If you're a subscriber you could see the pages up close.) (Source: Google Books)
It looks arbitrary: finc- could be from one of the stem forms of fig- "make, shape". Or conceivably a deformation of 'funicular', equating metal rope with wire; dare anyone coin 'reso-' out of 'resemble' though?