"squarest" in the adjective sense
1. square
having four equal sides and four right angles or forming a right angle
"a square peg in a round hole"
"a square corner"
2. straight, square
characterized by honesty and fairness
"straight dealing"
"a square deal"
3. hearty, satisfying, solid, square, substantial
providing abundant nourishment
"a hearty meal"
"good solid food"
"ate a substantial breakfast"
"four square meals a day"
4. square
leaving no balance
"my account with you is now all square"
5. square, straightforward, straight
without evasion or compromise
"a square contradiction"
"he is not being as straightforward as it appears"
6. square, straight
rigidly conventional or old-fashioned
Source: WordNet® (An amazing lexical database of English)
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