The details can be found in a thread:
https://www.gamedev.net/topic/656527-how-do-i-simplify-the-symmetry-math/
I make slow but steady progress on that battlefield.
Since the last screenshot I also changed the height between layers from tile size to 3/4 * the tile size.
The maps are more radable that way, I think, because parts of some covered tiles are exposed.