Use Case

Functionality

Mathematical Description

Notation for Piecewise Linear Path in \(\R^3\)

A mathematical knot is a smooth embedding of a collection of \(S^1\) into \(\R^3\) or \(S^3\). These smooth curves can be approximated by a collection of piecewise linear paths.

To support the encoding of tangles (as well as other similar objects) we allow for open paths. Meaning curves with endpoints that are not equal.

Computational Description

There are no special computational considerations for this use case.