The state or property of having two distinct types of symmetry in the same object.
From bi- (two) + symmetry (from Greek symmetria, 'harmony of proportions'). This noun form emerged in mathematics and crystallography to name the phenomenon when objects display multiple symmetrical properties simultaneously.
A honeycomb cell has bisymmetry—it's hexagonal (6-fold symmetry) AND perfectly regular along multiple planes. This property is why bees' construction is so efficient; the math works in multiple directions at once.
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