You need Blender 3.0 or higher to use this Geometry Nodes Setup (Fields).

For 002 you need Blender 3.2+.

The Project currently contains 3 example Setups with Materials.

Images are rendered in Cycles.

Node Groups:

In the Recursive Subdivisions Group Node, you can change, for instance, the Animate Node Tree by Replacing the Sine or Cosine with a Linear approach for another Animation Progression.

You can change the Input Parameter, too. Some are experimental, like Subunit Offset, which can result in intersections if you want these.