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, to be able to subdivide it 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, not from 1 to 2, but having (1,2)then (1,5) and then (1,8) before complete 2 times subdiv. as Markus did in his video, but in Wireframe mode.

Or maybe it would be possible to achieve without even needing subdivision.  Transforming edges into curves and applying some sort of controlled triangulations, instead of the real mesh.
[![before subdiv][1]][1]
 


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


[![The subdiv only allows "integers" and cannot be animated][3]][3]


  [1]: https://i.sstatic.net/dNqQd.png
  [2]: https://i.sstatic.net/aioB8.png
  [3]: https://i.sstatic.net/LMfJq.png
The subdiv only allows "integers" and cannot be animated