Using 3.4.1 build, I want to create an effect that slowly adds geometry to the mesh, in the same way Subdivide node does to the whole mesh, but not in an **integer** way, but in **float**, so that in wireframe mode you can visualize the new branches of subdivision appearing from the center or corners.

This example from @MarkusVonBroady depicts it very well.
https://streamable.com/a20gob

I want the subdivision to run slowly, so I can see the new subdivisions running thru the mesh, as it increases (in a wireframe model, for instance). 

I want to be able to animate the subdivision, as Markus did in his video, but in Wireframe mode.

Or maybe it would be possible to achieve without even needing subdivision.  Using curves into the faces, instead of the real mesh.
[![before subdiv][1]][1]
 


[![after subdiv][2]][2]


[![how to make it float controllable?][3]][3]


  [1]: https://i.sstatic.net/dNqQd.png
  [2]: https://i.sstatic.net/aioB8.png
  [3]: https://i.sstatic.net/LMfJq.png