Need help to Cull inner lines of the voronoi pattern

current picture

desired outcome

I am trying to cull the inner lines of voronoi pattern on a surface. Any recommendations?

3. Attach minimal versions of all the relevant files

It is just a matter of topology.
Explode each cell, extract all middle point, then cull point and leave none.

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I see. Is this how its supposed to look?

you you forgot to flatten the data (segments). So it doesn’t work. Look carefully at my picture.
If no flattening the algorithm work for each cell and not all cells at the same time. Devil is in the details. It is why it is always better to

use fennec/regions component. another way is use “region union” component