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Meaning:
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(beauty resulting from) the exact shape, design, of opposite parts; the quality of harmony or balance (in size, design etc) between different things

proportion

equilibrium harmony rhythm similarity agreement arrangement balance centrality conformity correspondence equality equipoise equivalence evenness finish form order proportionality regularity shapeliness
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Cases of word usage

1) having symmetry (symmetric)

SYMMETRY as in Wiktionary
SYMMETRY as in Wikipedia