Copyright (c) James A. Storer
African Mask
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Rectilinear steps: 41
Generalized rectilinear steps: 37
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For the solution of 37 generalized rectiliner moves
(where pieces can be pushed by others), combine
3+4 (1 pushes 3+4+C east and continues north),
12+ 13 (2 pushes M north and continues east),
24+25 (1 pushes M north and continues west),
36+37 (2 pushes M north and continues east).
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#0:
L L L M M M M M M R R R
L M M R
L L M M M M R R
L A L 1 A 1 2 B 2 R B R
L A A A A 1 2 B B B B R
L L L 1 1 1 2 2 2 R R R
3 C 3 4 C 4
3 C C C C 4
3 3 3 4 4 4
#1. Rotate A 90 degrees CW:
L L L M M M M M M R R R
L A A M M R
L A L M M M M R R
L A L 1 1 2 B 2 R B R
L A A 1 2 B B B B R
L L L 1 1 1 2 2 2 R R R
3 C 3 4 C 4
3 C C C C 4
3 3 3 4 4 4
#2. Rotate B 90 degrees CC:
L L L M M M M M M R R R
L A A M M B B R
L A L M M M M R B R
L A L 1 1 2 2 R B R
L A A 1 2 B B R
L L L 1 1 1 2 2 2 R R R
3 C 3 4 C 4
3 C C C C 4
3 3 3 4 4 4
#3. Move 3+4+C east 3 units:
L L L M M M M M M R R R
L A A M M B B R
L A L M M M M R B R
L A L 1 1 2 2 R B R
L A A 1 2 B B R
L L L 1 1 1 2 2 2 R R R
3 C 3 4 C 4
3 C C C C 4
3 3 3 4 4 4
#4. Move 1 ending west:
L L L M M M M M M R R R
L A A M M B B R
L A L M M M M R B R
L A L 2 2 R B R
L A A 2 B B R
L L L 2 2 2 R R R
1 1 3 C 3 4 C 4
1 3 C C C C 4
1 1 1 3 3 3 4 4 4
#5. Move 2 ending south:
L L L M M M M M M R R R
L A A M M B B R
L A L M M M M R B R
L A L R B R
L A A B B R
L L L R R R
1 1 2 2 3 C 3 4 C 4
1 2 3 C C C C 4
1 1 1 2 2 2 3 3 3 4 4 4
#6. Move M south 3 units:
L L L R R R
L A A B B R
L A L R B R
L A L M M M M M M R B R
L A A M M B B R
L L L M M M M R R R
1 1 2 2 3 C 3 4 C 4
1 2 3 C C C C 4
1 1 1 2 2 2 3 3 3 4 4 4
#7. Rotate C 90 degrees CW:
L L L R R R
L A A B B R
L A L R B R
L A L M M M M M M R B R
L A A M M C C B B R
L L L M M M C M R R R
1 1 2 2 3 C 3 4 4
1 2 3 C C 4
1 1 1 2 2 2 3 3 3 4 4 4
#8. Move M+3+C north 3 units:
L L L M M M M M M R R R
L A A M M C C B B R
L A L M M M C M R B R
L A L 3 C 3 R B R
L A A 3 C C B B R
L L L 3 3 3 R R R
1 1 2 2 4 4
1 2 4
1 1 1 2 2 2 4 4 4
#9. Rotate B+C 180 degrees:
L L L M M M M M M R R R
L A A M M B B C C R
L A L M M M B M R C R
L A L 3 B 3 R C R
L A A 3 B B C C R
L L L 3 3 3 R R R
1 1 2 2 4 4
1 2 4
1 1 1 2 2 2 4 4 4
#10. Move M+3+B south 3 units:
L L L R R R
L A A C C R
L A L R C R
L A L M M M M M M R C R
L A A M M B B C C R
L L L M M M B M R R R
1 1 2 2 3 B 3 4 4
1 2 3 B B 4
1 1 1 2 2 2 3 3 3 4 4 4
#11. Rotate B 90 degrees CC:
L L L R R R
L A A C C R
L A L R C R
L A L M M M M M M R C R
L A A M M C C R
L L L M M M M R R R
1 1 2 2 3 B 3 4 B 4
1 2 3 B B B B 4
1 1 1 2 2 2 3 3 3 4 4 4
#12. Move M north 3 units:
L L L M M M M M M R R R
L A A M M C C R
L A L M M M M R C R
L A L R C R
L A A C C R
L L L R R R
1 1 2 2 3 B 3 4 B 4
1 2 3 B B B B 4
1 1 1 2 2 2 3 3 3 4 4 4
#13. Move 2 ending east:
L L L M M M M M M R R R
L A A M M C C R
L A L M M M M R C R
L A L 2 2 R C R
L A A 2 C C R
L L L 2 2 2 R R R
1 1 3 B 3 4 B 4
1 3 B B B B 4
1 1 1 3 3 3 4 4 4
#14. Move 1 ending north:
L L L M M M M M M R R R
L A A M M C C R
L A L M M M M R C R
L A L 1 1 2 2 R C R
L A A 1 2 C C R
L L L 1 1 1 2 2 2 R R R
3 B 3 4 B 4
3 B B B B 4
3 3 3 4 4 4
#15. Move 3+4+B west 6 units:
L L L M M M M M M R R R
L A A M M C C R
L A L M M M M R C R
L A L 1 1 2 2 R C R
L A A 1 2 C C R
L L L 1 1 1 2 2 2 R R R
3 B 3 4 B 4
3 B B B B 4
3 3 3 4 4 4
#16. Move 2 ending east:
L L L M M M M M M R R R
L A A M M C C R
L A L M M M M R C R
L A L 1 1 R C R
L A A 1 C C R
L L L 1 1 1 R R R
3 B 3 4 B 4 2 2
3 B B B B 4 2
3 3 3 4 4 4 2 2 2
#17. Move 1 ending south:
L L L M M M M M M R R R
L A A M M C C R
L A L M M M M R C R
L A L R C R
L A A C C R
L L L R R R
3 B 3 4 B 4 1 1 2 2
3 B B B B 4 1 2
3 3 3 4 4 4 1 1 1 2 2 2
#18. Move M south 3 units:
L L L R R R
L A A C C R
L A L R C R
L A L M M M M M M R C R
L A A M M C C R
L L L M M M M R R R
3 B 3 4 B 4 1 1 2 2
3 B B B B 4 1 2
3 3 3 4 4 4 1 1 1 2 2 2
#19. Rotate B 90 degrees CC:
L L L R R R
L A A C C R
L A L R C R
L A L M M M M M M R C R
L A A B B M M C C R
L L L M B M M M R R R
3 3 4 B 4 1 1 2 2
3 B B 4 1 2
3 3 3 4 4 4 1 1 1 2 2 2
#20. Move M+4+B north 3 units:
L L L M M M M M M R R R
L A A B B M M C C R
L A L M B M M M R C R
L A L 4 B 4 R C R
L A A B B 4 C C R
L L L 4 4 4 R R R
3 3 1 1 2 2
3 1 2
3 3 3 1 1 1 2 2 2
#21. Rotate A+B 180 degrees:
L L L M M M M M M R R R
L B B A A M M C C R
L B L M A M M M R C R
L B L 4 A 4 R C R
L B B A A 4 C C R
L L L 4 4 4 R R R
3 3 1 1 2 2
3 1 2
3 3 3 1 1 1 2 2 2
#22. Move M+4+A south 3 units:
L L L R R R
L B B C C R
L B L R C R
L B L M M M M M M R C R
L B B A A M M C C R
L L L M A M M M R R R
3 3 4 A 4 1 1 2 2
3 A A 4 1 2
3 3 3 4 4 4 1 1 1 2 2 2
#23. otate A 90 degrees CW:
L L L R R R
L B B C C R
L B L R C R
L B L M M M M M M R C R
L B B M M C C R
L L L M M M M R R R
3 A 3 4 A 4 1 1 2 2
3 A A A A 4 1 2
3 3 3 4 4 4 1 1 1 2 2 2
#24. Move M north 3 units:
L L L M M M M M M R R R
L B B M M C C R
L B L M M M M R C R
L B L R C R
L B B C C R
L L L R R R
3 A 3 4 A 4 1 1 2 2
3 A A A A 4 1 2
3 3 3 4 4 4 1 1 1 2 2 2
#25. Move 1 ending west:
L L L M M M M M M R R R
L B B M M C C R
L B L M M M M R C R
L B L 1 1 R C R
L B B 1 C C R
L L L 1 1 1 R R R
3 A 3 4 A 4 2 2
3 A A A A 4 2
3 3 3 4 4 4 2 2 2
#26. Move 2 ending north:
L L L M M M M M M R R R
L B B M M C C R
L B L M M M M R C R
L B L 1 1 2 2 R C R
L B B 1 2 C C R
L L L 1 1 1 2 2 2 R R R
3 A 3 4 A 4
3 A A A A 4
3 3 3 4 4 4
#27. Move 3+4+A east 6 units:
L L L M M M M M M R R R
L B B M M C C R
L B L M M M M R C R
L B L 1 1 2 2 R C R
L B B 1 2 C C R
L L L 1 1 1 2 2 2 R R R
3 A 3 4 A 4
3 A A A A 4
3 3 3 4 4 4
#28. Move 1 ending west:
L L L M M M M M M R R R
L B B M M C C R
L B L M M M M R C R
L B L 2 2 R C R
L B B 2 C C R
L L L 2 2 2 R R R
1 1 3 A 3 4 A 4
1 3 A A A A 4
1 1 1 3 3 3 4 4 4
#29. Move 2ending south:
L L L M M M M M M R R R
L B B M M C C R
L B L M M M M R C R
L B L R C R
L B B C C R
L L L R R R
1 1 2 2 3 A 3 4 A 4
1 2 3 A A A A 4
1 1 1 2 2 2 3 3 3 4 4 4
#30. Move M south 3 units:
L L L R R R
L B B C C R
L B L R C R
L B L M M M M M M R C R
L B B M M C C R
L L L M M M M R R R
1 1 2 2 3 A 3 4 A 4
1 2 3 A A A A 4
1 1 1 2 2 2 3 3 3 4 4 4
#31. Rotate A 90 degrees clockwise:
L L L R R R
L B B C C R
L B L R C R
L B L M M M M M M R C R
L B B M M A A C C R
L L L M M M A M R R R
1 1 2 2 3 A 3 4 4
1 2 3 A A 4
1 1 1 2 2 2 3 3 3 4 4 4
#32. Move M+3+A north 3 units:
L L L M M M M M M R R R
L B B M M A A C C R
L B L M M M A M R C R
L B L 3 A 3 R C R
L B B 3 A A C C R
L L L 3 3 3 R R R
1 1 2 2 4 4
1 2 4
1 1 1 2 2 2 4 4 4
#33. Rotate A+C 180 degrees:
L L L M M M M M M R R R
L B B M M C C A A R
L B L M M M C M R A R
L B L 3 C 3 R A R
L B B 3 C C A A R
L L L 3 3 3 R R R
1 1 2 2 4 4
1 2 4
1 1 1 2 2 2 4 4 4
#34. Move M+3+C south 3 units:
L L L R R R
L B B A A R
L B L R A R
L B L M M M M M M R A R
L B B M M C C A A R
L L L M M M C M R R R
1 1 2 2 3 C 3 4 4
1 2 3 C C 4
1 1 1 2 2 2 3 3 3 4 4 4
#35. Rotate C 90 degrees CC:
L L L R R R
L B B A A R
L B L R A R
L B L M M M M M M R A R
L B B M M A A R
L L L M M M M R R R
1 1 2 2 3 C 3 4 C 4
1 2 3 C C C C 4
1 1 1 2 2 2 3 3 3 4 4 4
#36. Move M north 3 units:
L L L M M M M M M R R R
L B B M M A A R
L B L M M M M R A R
L B L R A R
L B B A A R
L L L R R R
1 1 2 2 3 C 3 4 C 4
1 2 3 C C C C 4
1 1 1 2 2 2 3 3 3 4 4 4
#37. Move ending east:
L L L M M M M M M R R R
L B B M M A A R
L B L M M M M R A R
L B L 2 2 R A R
L B B 2 A A R
L L L 2 2 2 R R R
1 1 3 C 3 4 C 4
1 3 C C C C 4
1 1 1 3 3 3 4 4 4
#38. Move 1 ending north:
L L L M M M M M M R R R
L B B M M A A R
L B L M M M M R A R
L B L 1 1 2 2 R A R
L B B 1 2 A A R
L L L 1 1 1 2 2 2 R R R
3 C 3 4 C 4
3 C C C C 4
3 3 3 4 4 4
#39. Rotate B 90 degrees CC:
L L L M M M M M M R R R
L M M A A R
L L M M M M R A R
L B L 1 B 1 2 2 R A R
L B B B B 1 2 A A R
L L L 1 1 1 2 2 2 R R R
3 C 3 4 C 4
3 C C C C 4
3 3 3 4 4 4
#40. Move 3+4+C west 3 units:
L L L M M M M M M R R R
L M M A A R
L L M M M M R A R
L B L 1 B 1 2 2 R A R
L B B B B 1 2 A A R
L L L 1 1 1 2 2 2 R R R
3 C 3 4 C 4
3 C C C C 4
3 3 3 4 4 4
#41. Rotate A 90 degrees CW:
L L L M M M M M M R R R
L M M R
L L M M M M R R
L B L 1 B 1 2 A 2 R A R
L B B B B 1 2 A A A A R
L L L 1 1 1 2 2 2 R R R
3 C 3 4 C 4
3 C C C C 4
3 3 3 4 4 4