The plural of antipodean city is antipodean citiesbecause you make the noun city plural by remove the -y and replace with -ies. The word antipodean is an adjective; adjectives don't have singular or plural forms.
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Ekundayo Babakayode Opaleye has written:
'Path to prosperity' -- subject(s): Ondo State (Nigeria), Ondo
State (Nigeria). Military Governor (1986- : Opaleye), Politics and
government