inspired me to look up the <ahem> root.

Well, for heaven's sake! I can't believe I did something before you did, for once. That's the very first thing I did, and for ambigamous and catastarian, too. It never occurred to me that you wouldn't have done that, or I'd've
said something. Ambi- is a word element meaning both,
around, or on both sides; -arian is a compound suffix of
adjectives and nouns; cata- is a prefix meaning down, against, or back, usually with words that came from Greek
(use just cat- if the word starts with a vowel).
But, even putting parts of the word together doesn't provide verification that the word exists.