Copyright (c) James A. Storer
African Mask
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Rectilinear steps: 68
Generalized rectilinear steps: 61
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Note: For the solution of 61 generalized rectiliner moves
(where pieces can be pushed by others),
combine 12+13 (1 pushes 4 south),
21+22 (2 pushes 4 reast and continues north),
30+31 (3 pushes M+1+A east and continues south),
48+49 (2+4+C pushes 3 east),
52+53 (2+4+C pushes M north),
58+59 (3 pushes 2 north),
61+62 (2 pushes 3+4+C south 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 4 west 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 2 ending east:
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 R B R
L A A 1 B B R
L L L 1 1 1 R R R
3 C 3 4 C 4 2 2
3 C C C C 4 2
3 3 3 4 4 4 2 2 2
#5. 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 R B R
L A A 1 B B R
L L L 1 1 1 R R R
3 C 3 4 C 4 2 2
3 C C C C 4 2
3 3 3 4 4 4 2 2 2
#6. Move L+A south 3 units:
M M M M M M R R R
M M B B R
M M M M R B R
L L L 1 1 R B R
L A A 1 B B R
L A L 1 1 1 R R R
L A L 3 C 3 4 C 4 2 2
L A A 3 C C C C 4 2
L L L 3 3 3 4 4 4 2 2 2
#7. Move M west 3 units:
M M M M M M R R R
M M B B R
M M M M R B R
L L L 1 1 R B R
L A A 1 B B R
L A L 1 1 1 R R R
L A L 3 C 3 4 C 4 2 2
L A A 3 C C C C 4 2
L L L 3 3 3 4 4 4 2 2 2
#8. Move 1 ending north:
M M M M M M 1 1 R R R
M M 1 B B R
M M M M 1 1 1 R B R
L L L R B R
L A A B B R
L A L R R R
L A L 3 C 3 4 C 4 2 2
L A A 3 C C C C 4 2
L L L 3 3 3 4 4 4 2 2 2
#9. Move 3+4+C north 3 units:
M M M M M M 1 1 R R R
M M 1 B B R
M M M M 1 1 1 R B R
L L L 3 C 3 4 C 4 R B R
L A A 3 C C C C 4 B B R
L A L 3 3 3 4 4 4 R R R
L A L 2 2
L A A 2
L L L 2 2 2
#10. Move 2 west 6 units:
M M M M M M 1 1 R R R
M M 1 B B R
M M M M 1 1 1 R B R
L L L 3 C 3 4 C 4 R B R
L A A 3 C C C C 4 B B R
L A L 3 3 3 4 4 4 R R R
L A L 2 2
L A A 2
L L L 2 2 2
#11. Rotate C 90 degrees CW:
M M M M M M 1 1 R R R
M M C C 1 B B R
M M M C M 1 1 1 R B R
L L L 3 C 3 4 4 R B R
L A A 3 C C 4 B B R
L A L 3 3 3 4 4 4 R R R
L A L 2 2
L A A 2
L L L 2 2 2
#12. Move 4 south 3 units:
M M M M M M 1 1 R R R
M M C C 1 B B R
M M M C M 1 1 1 R B R
L L L 3 C 3 R B R
L A A 3 C C B B R
L A L 3 3 3 R R R
L A L 2 2 4 4
L A A 2 4
L L L 2 2 2 4 4 4
#13. Move 1 south 3 units:
M M M M M M R R R
M M C C B B R
M M M C M R B R
L L L 3 C 3 1 1 R B R
L A A 3 C C 1 B B R
L A L 3 3 3 1 1 1 R R R
L A L 2 2 4 4
L A A 2 4
L L L 2 2 2 4 4 4
#14. Rotate C 90 degrees CC:
M M M M M M R R R
M M B B R
M M M M R B R
L L L 3 C 3 1 C 1 R B R
L A A 3 C C C C 1 B B R
L A L 3 3 3 1 1 1 R R R
L A L 2 2 4 4
L A A 2 4
L L L 2 2 2 4 4 4
#15. Move R+B south 3 units:
M M M M M M
M M
M M M M
L L L 3 C 3 1 C 1 R R R
L A A 3 C C C C 1 B B R
L A L 3 3 3 1 1 1 R B R
L A L 2 2 4 4 R B R
L A A 2 4 B B R
L L L 2 2 2 4 4 4 R R R
#16. Move M east 6 units:
M M M M M M
M M
M M M M
L L L 3 C 3 1 C 1 R R R
L A A 3 C C C C 1 B B R
L A L 3 3 3 1 1 1 R B R
L A L 2 2 4 4 R B R
L A A 2 4 B B R
L L L 2 2 2 4 4 4 R R R
#17. Rotate C 90 degrees CC:
M M M M M M
C C M M
M C M M M
L L L 3 3 1 C 1 R R R
L A A 3 C C 1 B B R
L A L 3 3 3 1 1 1 R B R
L A L 2 2 4 4 R B R
L A A 2 4 B B R
L L L 2 2 2 4 4 4 R R R
#18. Move 3 ending west:
3 3 M M M M M M
3 C C M M
3 3 3 M C M M M
L L L 1 C 1 R R R
L A A C C 1 B B R
L A L 1 1 1 R B R
L A L 2 2 4 4 R B R
L A A 2 4 B B R
L L L 2 2 2 4 4 4 R R R
#19. Move M west 3 units:
3 3 M M M M M M
3 C C M M
3 3 3 M C M M M
L L L 1 C 1 R R R
L A A C C 1 B B R
L A L 1 1 1 R B R
L A L 2 2 4 4 R B R
L A A 2 4 B B R
L L L 2 2 2 4 4 4 R R R
#20. Move R+B north 3 units:
3 3 M M M M M M R R R
3 C C M M B B R
3 3 3 M C M M M R B R
L L L 1 C 1 R B R
L A A C C 1 B B R
L A L 1 1 1 R R R
L A L 2 2 4 4
L A A 2 4
L L L 2 2 2 4 4 4
#21. Move 4 east 3 units:
3 3 M M M M M M R R R
3 C C M M B B R
3 3 3 M C M M M R B R
L L L 1 C 1 R B R
L A A C C 1 B B R
L A L 1 1 1 R R R
L A L 2 2 4 4
L A A 2 4
L L L 2 2 2 4 4 4
#22. Move 2 ending north:
3 3 M M M M M M R R R
3 C C M M B B R
3 3 3 M C M M M R B R
L L L 1 C 1 2 2 R B R
L A A C C 1 2 B B R
L A L 1 1 1 2 2 2 R R R
L A L 4 4
L A A 4
L L L 4 4 4
#23. Rotate B 180 degrees:
3 3 M M M M M M R R R
3 C C M M B B R
3 3 3 M C M M B M R R
L L L 1 C 1 2 B 2 R R
L A A C C 1 2 B B R
L A L 1 1 1 2 2 2 R R R
L A L 4 4
L A A 4
L L L 4 4 4
#24. Move M+1+2+B+C south 3 units:
3 3 R R R
3 R
3 3 3 R R
L L L M M M M M M R R
L A A C C M M B B R
L A L M C M M B M R R R
L A L 1 C 1 2 B 2 4 4
L A A C C 1 2 B B 4
L L L 1 1 1 2 2 2 4 4 4
#25. Rotate B 90 degrees CC:
3 3 R R R
3 R
3 3 3 R R
L L L M M M M M M R R
L A A C C M M R
L A L M C M M M R R R
L A L 1 C 1 2 B 2 4 B 4
L A A C C 1 2 B B B B 4
L L L 1 1 1 2 2 2 4 4 4
#26. Rotate A+C 180 degrees:
3 3 R R R
3 R
3 3 3 R R
L L L M M M M M M R R
L C C A A M M R
L C L M A M M M R R R
L C L 1 A 1 2 B 2 4 B 4
L C C A A 1 2 B B B B 4
L L L 1 1 1 2 2 2 4 4 4
#27. Move M+1+A north 3 units:
3 3 M M M M M M R R R
3 A A M M R
3 3 3 M A M M M R R
L L L 1 A 1 R R
L C C A A 1 R
L C L 1 1 1 R R R
L C L 2 B 2 4 B 4
L C C 2 B B B B 4
L L L 2 2 2 4 4 4
#28. Move 2+4+B west 3 units:
3 3 M M M M M M R R R
3 A A M M R
3 3 3 M A M M M R R
L L L 1 A 1 R R
L C C A A 1 R
L C L 1 1 1 R R R
L C L 2 B 2 4 B 4
L C C 2 B B B B 4
L L L 2 2 2 4 4 4
#29. Move R south 3 units:
3 3 M M M M M M
3 A A M M
3 3 3 M A M M M
L L L 1 A 1 R R R
L C C A A 1 R
L C L 1 1 1 R R
L C L 2 B 2 4 B 4 R R
L C C 2 B B B B 4 R
L L L 2 2 2 4 4 4 R R R
#30. Move M+1+A east 3 units:
3 3 M M M M M M
3 A A M M
3 3 3 M A M M M
L L L 1 A 1 R R R
L C C A A 1 R
L C L 1 1 1 R R
L C L 2 B 2 4 B 4 R R
L C C 2 B B B B 4 R
L L L 2 2 2 4 4 4 R R R
#31. Move 3 ending south:
M M M M M M
A A M M
M A M M M
L L L 3 3 1 A 1 R R R
L C C 3 A A 1 R
L C L 3 3 3 1 1 1 R R
L C L 2 B 2 4 B 4 R R
L C C 2 B B B B 4 R
L L L 2 2 2 4 4 4 R R R
#32. Rotate A 90 degrees CW:
M M M M M M
M M
M M M M
L L L 3 A 3 1 A 1 R R R
L C C 3 A A A A 1 R
L C L 3 3 3 1 1 1 R R
L C L 2 B 2 4 B 4 R R
L C C 2 B B B B 4 R
L L L 2 2 2 4 4 4 R R R
#33. Move M west 6 units:
M M M M M M
M M
M M M M
L L L 3 A 3 1 A 1 R R R
L C C 3 A A A A 1 R
L C L 3 3 3 1 1 1 R R
L C L 2 B 2 4 B 4 R R
L C C 2 B B B B 4 R
L L L 2 2 2 4 4 4 R R R
#34. Rotate A 90 degrees CW:
M M M M M M
M M A A
M M M A M
L L L 3 A 3 1 1 R R R
L C C 3 A A 1 R
L C L 3 3 3 1 1 1 R R
L C L 2 B 2 4 B 4 R R
L C C 2 B B B B 4 R
L L L 2 2 2 4 4 4 R R R
#35. Move 1 ending east:
M M M M M M 1 1
M M A A 1
M M M A M 1 1 1
L L L 3 A 3 R R R
L C C 3 A A R
L C L 3 3 3 R R
L C L 2 B 2 4 B 4 R R
L C C 2 B B B B 4 R
L L L 2 2 2 4 4 4 R R R
#36. Move M east 3 units:
M M M M M M 1 1
M M A A 1
M M M A M 1 1 1
L L L 3 A 3 R R R
L C C 3 A A R
L C L 3 3 3 R R
L C L 2 B 2 4 B 4 R R
L C C 2 B B B B 4 R
L L L 2 2 2 4 4 4 R R R
#37. Move L+C north 3 units:
L L L M M M M M M 1 1
L C C M M A A 1
L C L M M M A M 1 1 1
L C L 3 A 3 R R R
L C C 3 A A R
L L L 3 3 3 R R
2 B 2 4 B 4 R R
2 B B B B 4 R
2 2 2 4 4 4 R R R
#38. Move 2+4+B west 3 units:
L L L M M M M M M 1 1
L C C M M A A 1
L C L M M M A M 1 1 1
L C L 3 A 3 R R R
L C C 3 A A R
L L L 3 3 3 R R
2 B 2 4 B 4 R R
2 B B B B 4 R
2 2 2 4 4 4 R R R
#39. Move M+3+A south 3 units:
L L L 1 1
L C C 1
L C L 1 1 1
L C L M M M M M M R R R
L C C M M A A R
L L L M M M A M R R
2 B 2 4 B 4 3 A 3 R R
2 B B B B 4 3 A A R
2 2 2 4 4 4 3 3 3 R R R
#40. Rotate B 90 degrees CC:
L L L 1 1
L C C 1
L C L 1 1 1
L C L M M M M M M R R R
L C C B B M M A A R
L L L M B M M A M R R
2 2 4 B 4 3 A 3 R R
2 B B 4 3 A A R
2 2 2 4 4 4 3 3 3 R R R
#41. Rotate A 180 degrees:
L L L 1 1
L C C 1
L C L 1 1 1
L C L M M M M M M R R R
L C C B B M M A A R
L L L M B M M M R A R
2 2 4 B 4 3 3 R A R
2 B B 4 3 A A R
2 2 2 4 4 4 3 3 3 R R R
#42. Move M+4+B north 3 units:
L L L M M M M M M 1 1
L C C B B M M 1
L C L M B M M M 1 1 1
L C L 4 B 4 R R R
L C C B B 4 A A R
L L L 4 4 4 R A R
2 2 3 3 R A R
2 3 A A R
2 2 2 3 3 3 R R R
#43. Rotate B+C 180 degrees:
L L L M M M M M M 1 1
L B B C C M M 1
L B L M C M M M 1 1 1
L B L 4 C 4 R R R
L B B C C 4 A A R
L L L 4 4 4 R A R
2 2 3 3 R A R
2 3 A A R
2 2 2 3 3 3 R R R
#44. Move M+4+C south 3 units:
L L L 1 1
L B B 1
L B L 1 1 1
L B L M M M M M M R R R
L B B C C M M A A R
L L L M C M M M R A R
2 2 4 C 4 3 3 R A R
2 C C 4 3 A A R
2 2 2 4 4 4 3 3 3 R R R
#45. Move 1 west 6 units:
L L L 1 1
L B B 1
L B L 1 1 1
L B L M M M M M M R R R
L B B C C M M A A R
L L L M C M M M R A R
2 2 4 C 4 3 3 R A R
2 C C 4 3 A A R
2 2 2 4 4 4 3 3 3 R R R
#46. Rotate C 90 degrees CW:
L L L 1 1
L B B 1
L B L 1 1 1
L B L M M M M M M R R R
L B B M M A A R
L L L M M M M R A R
2 C 2 4 C 4 3 3 R A R
2 C C C C 4 3 A A R
2 2 2 4 4 4 3 3 3 R R R
#47. Move R+A north 3 units:
L L L 1 1 R R R
L B B 1 A A R
L B L 1 1 1 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
2 C 2 4 C 4 3 3
2 C C C C 4 3
2 2 2 4 4 4 3 3 3
#48. Move 3 east 3 units:
L L L 1 1 R R R
L B B 1 A A R
L B L 1 1 1 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
2 C 2 4 C 4 3 3
2 C C C C 4 3
2 2 2 4 4 4 3 3 3
#49. Move 2+4+C east 3 units:
L L L 1 1 R R R
L B B 1 A A R
L B L 1 1 1 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
2 C 2 4 C 4 3 3
2 C C C C 4 3
2 2 2 4 4 4 3 3 3
#50. Move L+B south 3 units:
1 1 R R R
1 A A R
1 1 1 R A R
L L L M M M M M M R A R
L B B M M A A R
L B L M M M M R R R
L B L 2 C 2 4 C 4 3 3
L B B 2 C C C C 4 3
L L L 2 2 2 4 4 4 3 3 3
#51. Move 1 west 3 units:
1 1 R R R
1 A A R
1 1 1 R A R
L L L M M M M M M R A R
L B B M M A A R
L B L M M M M R R R
L B L 2 C 2 4 C 4 3 3
L B B 2 C C C C 4 3
L L L 2 2 2 4 4 4 3 3 3
#52. Move M north 3 units:
1 1 M M M M M M R R R
1 M M A A R
1 1 1 M M M M R A R
L L L R A R
L B B A A R
L B L R R R
L B L 2 C 2 4 C 4 3 3
L B B 2 C C C C 4 3
L L L 2 2 2 4 4 4 3 3 3
#53. Move 2+4+C north 3 units:
1 1 M M M M M M R R R
1 M M A A R
1 1 1 M M M M R A R
L L L 2 C 2 4 C 4 R A R
L B B 2 C C C C 4 A A R
L B L 2 2 2 4 4 4 R R R
L B L 3 3
L B B 3
L L L 3 3 3
#54. Move 3 west 6 units:
1 1 M M M M M M R R R
1 M M A A R
1 1 1 M M M M R A R
L L L 2 C 2 4 C 4 R A R
L B B 2 C C C C 4 A A R
L B L 2 2 2 4 4 4 R R R
L B L 3 3
L B B 3
L L L 3 3 3
#55. Move R+A south 3 units:
1 1 M M M M M M
1 M M
1 1 1 M M M M
L L L 2 C 2 4 C 4 R R R
L B B 2 C C C C 4 A A R
L B L 2 2 2 4 4 4 R A R
L B L 3 3 R A R
L B B 3 A A R
L L L 3 3 3 R R R
#56. Move M east 3 units:
1 1 M M M M M M
1 M M
1 1 1 M M M M
L L L 2 C 2 4 C 4 R R R
L B B 2 C C C C 4 A A R
L B L 2 2 2 4 4 4 R A R
L B L 3 3 R A R
L B B 3 A A R
L L L 3 3 3 R R R
#57. Rotate C 90 degrees CC:
1 1 M M M M M M
1 C C M M
1 1 1 M C M M M
L L L 2 2 4 C 4 R R R
L B B 2 C C 4 A A R
L B L 2 2 2 4 4 4 R A R
L B L 3 3 R A R
L B B 3 A A R
L L L 3 3 3 R R R
#58. Move 2 north 3 units:
1 1 2 2 M M M M M M
1 2 C C M M
1 1 1 2 2 2 M C M M M
L L L 4 C 4 R R R
L B B C C 4 A A R
L B L 4 4 4 R A R
L B L 3 3 R A R
L B B 3 A A R
L L L 3 3 3 R R R
#59. Move 3 north 3 units:
1 1 2 2 M M M M M M
1 2 C C M M
1 1 1 2 2 2 M C M M M
L L L 3 3 4 C 4 R R R
L B B 3 C C 4 A A R
L B L 3 3 3 4 4 4 R A R
L B L R A R
L B B A A R
L L L R R R
#60. Rotate C 90 degrees CW:
1 1 2 2 M M M M M M
1 2 M M
1 1 1 2 2 2 M M M M
L L L 3 C 3 4 C 4 R R R
L B B 3 C C C C 4 A A R
L B L 3 3 3 4 4 4 R A R
L B L R A R
L B B A A R
L L L R R R
#61. Move 3+4+C south 3 units:
1 1 2 2 M M M M M M
1 2 M M
1 1 1 2 2 2 M M M M
L L L R R R
L B B A A R
L B L R A R
L B L 3 C 3 4 C 4 R A R
L B B 3 C C C C 4 A A R
L L L 3 3 3 4 4 4 R R R
#62. Move 2 ending east:
1 1 M M M M M M
1 M M
1 1 1 M M M M
L L L 2 2 R R R
L B B 2 A A R
L B L 2 2 2 R A R
L B L 3 C 3 4 C 4 R A R
L B B 3 C C C C 4 A A R
L L L 3 3 3 4 4 4 R R R
#63. Move 1 ending south:
M M M M M M
M M
M M M M
L L L 1 1 2 2 R R R
L B B 1 2 A A R
L B L 1 1 1 2 2 2 R A R
L B L 3 C 3 4 C 4 R A R
L B B 3 C C C C 4 A A R
L L L 3 3 3 4 4 4 R R R
#64. Move M west 3 units:
M M M M M M
M M
M M M M
L L L 1 1 2 2 R R R
L B B 1 2 A A R
L B L 1 1 1 2 2 2 R A R
L B L 3 C 3 4 C 4 R A R
L B B 3 C C C C 4 A A R
L L L 3 3 3 4 4 4 R R R
#65. Move L+B north 3 units:
L L L M M M M M M
L B B M M
L B L M M M M
L B L 1 1 2 2 R R R
L B B 1 2 A A R
L L L 1 1 1 2 2 2 R A R
3 C 3 4 C 4 R A R
3 C C C C 4 A A R
3 3 3 4 4 4 R R R
#66. Rotate B 90 degrees CC:
L L L M M M M M M
L M M
L L M M M M
L B L 1 B 1 2 2 R R R
L B B B B 1 2 A A R
L L L 1 1 1 2 2 2 R A R
3 C 3 4 C 4 R A R
3 C C C C 4 A A R
3 3 3 4 4 4 R R R
#67. Move R+A north 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
#68. 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