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Here is my attempt at AUW. I was inspired by the below matrix to make a quadruplet that accomplishes AUW but does not have crude keys. However the alterations are too much to be considered as an actual quadruplet. Scroll down for solution.
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A classic from the German miniaturist. This is a progressive twin which means that c) is derived from b)'s diagram and d) is derived from c), Each progression reduces one piece. Very elegant but the keys are crude - checking or flight taking. Click on the diagram for the solution. |
Now a try problem. The bK has three flights, none of them with mates provided. The wP on c7 is begging to be promoted. Each possible promotion leads to a different try: 1.c8=Q stalemate! 1.c8=R 2.Ke6! 1.c8=B 2.Kc6! 1.c8=S 1.Kc4!. Each under promotion is refuted by a unique flight of the king. What remains is to provide the bK a fourth flight on e4 giving the star flight theme. |
Finally we end with a two mover that accomplishes black AUW and combines with another theme: combinative separation. The key makes 3 different threats and all possible combinations \(7=2^3-1\) of these threats are given by black's possible moves (4 different from the bPg2's possible promotions). Very mathematical! Click on the diagram for solution. |