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Synonyms for Square (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):
foursquare

WordNet sense 2 (the product of two equal terms):
second power

WordNet sense 3 (someone who doesn't understand what is going on):
lame, lame

WordNet sense 4 (a formal and conservative person with old-fashioned views):
square toes

WordNet sense 5 (an open area at the meeting of two or more streets):
public square

WordNet sense 6 (providing abundant nourishment):
hearty, satisfying, solid, substantial

WordNet sense 7 (conducive to or characteristic of physical or moral well-being):
wholesome

WordNet sense 8 (without concealment or deception; honest):
straightforward

WordNet sense 9 (characterized by honesty and fairness):
straight

WordNet sense 10 (somewhat square in appearance or form):
squarish

WordNet sense 11 (having four sides and four angles):
quadrate

WordNet sense 12 (turn the paddle; in canoeing):
feather

WordNet sense 13 (extended senses; direct in means or manner or behavior or language or action):
direct

WordNet sense 14 (make square):
square up

WordNet sense 15 (in a straight direct way):
squarely


From the ODE community, based on WordNetadd/edit