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The natural of course is the Pythagorean ascending 4-3-2-1, each square half offset. What is the name for that famous design? Then use just two piece types with maybe self-modifying rule of movement. One completion: piece adjacent one step up at option, else one step down at option; lateral one-step always available. Each one's other piece-type has opposite orientation. Goal: capture the other's two pieces. If no other move available, one step any direction always permitted.