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Synonyms for Foursquare (same or very similar meaning)

WordNet sense 1 ((geometry) a plane rectangle with four equal sides and four right angles; a four-sided regular polygon):
square

WordNet sense 2 (firm in purpose or belief; characterized by firmness and determination):
resolute

WordNet sense 3 (with firmness and conviction; without compromise):
squarely, straightforwardly


From the ODE community, based on WordNetadd/edit