Definition:Planar Diagram

Definition

Let $K$ be a knot.

A planar diagram for $K$ is a diagram representing $K$ as a string in the plane where crossings are depicted intuitively.

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Examples

Trefoil Knot

This is the planar diagram of the right-hand trefoil knot:

Also known as

A Planar Diagram for a knot $K$ is also known as a planar representation for (or of) $K$.

Also see

• Results about planar diagrams can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): knot theory
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): knot theory