I have a problem with the correct spelling, IMHO the ie is wrong, however the Duden states it is the correct one. I want to give an example:
Die einen finden das Bild schön, die anderen widerum hässlich.
The word here is rather used as a contradiction (Widerspruch) than a repetition (Wiederholung), so why should it be written with "ie" then? Or do you see it different? All the efforts of explanations in the web are rather lousy.