I found all 55 basic mate patterns to mate a black king on the backrank.
The position of the black king can be from b8 to to g8.
So I didn't cover the mates with the king at the left or right rim, nor the mates with the king in the middle of the board. Yet.
All other mates are lookalikes from the 55 basic patterns.
Before I cover other mates or other traps I'm going to experiment with these 55 positions to see if a viable system can be developed. The 55 basic positions are END-positions. Since every end position can be achieved via different pathways, the amount of basic positions can multiply.