Planar tangles are graphical structures that consist of a collection of strands connected at junctions, arranged in a way that can be drawn on a plane without any crossings between strands. These tangles play a critical role in the study of planar algebras, as they provide a visual and combinatorial approach to understanding the algebraic properties and operations within this framework. Their configurations can represent various algebraic identities and relationships, making them essential for exploring the interactions of different algebraic elements.
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