Create calligraphy like curves using geometry nodes

Question

I was wondering if it was possible to create randomly generated calligraphy curves using geometry nodes. (See image below)

I was looking into swirl pattern equations but they mostly came back with spirals (doing it this way may be over complicating things) like a Lemniscate

I wanted to create a bunch of them randomly to see what I get. I know we can change the linestyle thickness using freestyle but was wondering if it can be done in geometry nodes.

Update:

1. I'm contemplating having some preset curves that are in collections. (3 collections of 4 different curves should give a decent random set)
2. Selecting some curves then joining the curves together randomly from the collections (end point to end point) (still thinking on the best way to do this though).

Something like this link just not as complex Blender 3.0 - Geometry Nodes - Replace an instance object according to conditions (if else) also I'm looking at this Staggered palm frond leaves with Geometry Nodes?

Example:

Answer 1

A proposal... but there are many possible variations and/or factors that could be taken into account.

The principle is to generate a mesh line, change the position of its vertices using a texture (a magic texture looks fine in my opinion), and convert it to a spline.

The stroke variations is done using a sinus (plus some calculations, but matter of taste...) from points indices (or from their length), or using a float curve (the blend file contains both).

Once all that done, set the resolution of the curve (a low resolution can give interesting results), give it a profile, and, eventually duplicate and shift the figure using it as an instance.