1234 Puzzle - 58 rectilinear moves


Copyright (c) James A. Storer

1234 Puzzle

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Rectilinear steps: 58
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(ABCD represent the dark versions of 1234)

#0:
A B C D
$   $  
1 2 3 4

#1. Move 4 north:
A B C D
$   $ 4
1 2 3  

#2. Move 3 east:
A B C D
$   $ 4
1 2   3

#3. Move 2 east:
A B C D
$   $ 4
1   2 3

#4. Move B south (2 units):
A   C D
$   $ 4
1 B 2 3

#5. Move A ending south (2 segments, 2 units):
    C D
$ A $ 4
1 B 2 3

#6. Move C west (2 units):
C     D
$ A $ 4
1 B 2 3

#7. Move A ending east (2 segments, 2 units):
C   A D
$   $ 4
1 B 2 3

#8. Move B north (2 units):
C B A D
$   $ 4
1   2 3

#9. Move 2 ending north (2 segments, 2 units):
C B A D
$ 2 $ 4
1     3

#10. Move 3 west (2 units):
C B A D
$ 2 $ 4
1 3    

#11. Move 4 ending west (2 segments, 2 units):
C B A D
$ 2 $  
1 3 4  

#12. Move D south (2 units):
C B A  
$ 2 $  
1 3 4 D

#13. Move A ending south (2 segments, 2 units):
C B    
$ 2 $ A
1 3 4 D

#14. Move B east (2 units):
C     B
$ 2 $ A
1 3 4 D

#15. Move 2 ending east (2 segments, 2 units):
C   2 B
$   $ A
1 3 4 D

#16. Move C ending south (2 segments, 2 units):
    2 B
$ C $ A
1 3 4 D

#17. Move 2 west (2 units):
2     B
$ C $ A
1 3 4 D

#18. Move B west (2 units):
2 B    
$ C $ A
1 3 4 D

#19. Move A ending west (2 segments, 2 units):
2 B A  
$ C $  
1 3 4 D

#20. Move D north (2 units):
2 B A D
$ C $  
1 3 4  

#21. Move 4 ending north (2 segments, 2 units):
2 B A D
$ C $ 4
1 3    

#22. Move 3 east (2 units):
2 B A D
$ C $ 4
1     3

#23. Move C ending east (2 segments, 2 units):
2 B A D
$   $ 4
1   C 3

#24. Move B south (2 units):
2   A D
$   $ 4
1 B C 3

#25. Move 2 ending south (2 segments, 2 units):
    A D
$ 2 $ 4
1 B C 3

#26. Move A west:
  A   D
$ 2 $ 4
1 B C 3

#27. Move D west:
  A D  
$ 2 $ 4
1 B C 3

#28. Move 4 north:
  A D 4
$ 2 $  
1 B C 3

#29. Move 3 north:
  A D 4
$ 2 $ 3
1 B C  

#30. Move C east:
  A D 4
$ 2 $ 3
1 B   C

#31. Move B east:
  A D 4
$ 2 $ 3
1   B C

#32. Move 2 south:
  A D 4
$   $ 3
1 2 B C

#33. Move A south:
    D 4
$ A $ 3
1 2 B C

#34. Move D west (2 units):
D     4
$ A $ 3
1 2 B C

#35. Move 4 west (2 units):
D 4    
$ A $ 3
1 2 B C

#36. Move 3 ending west (2 segments, 2 units):
D 4 3  
$ A $  
1 2 B C

#37. Move C north (2 units):
D 4 3 C
$ A $  
1 2 B  

#38. Move B ending north (2 segments, 2 units):
D 4 3 C
$ A $ B
1 2    

#39. Move 2 east (2 units):
D 4 3 C
$ A $ B
1     2

#40. Move 1 east (2 units):
D 4 3 C
$ A $ B
    1 2

#41. Move A ending west (2 segments, 2 units):
D 4 3 C
$   $ B
A   1 2

#42. Move 4 south (2 units):
D   3 C
$   $ B
A 4 1 2

#43. Move 3 ending south (2 segments, 2 units):
D     C
$ 3 $ B
A 4 1 2

#44. Move D east (2 units):
    D C
$ 3 $ B
A 4 1 2

#45. Move 3 ending west (2 segments, 2 units):
3   D C
$   $ B
A 4 1 2

#46. Move 4 north (2 units):
3 4 D C
$   $ B
A   1 2

#47. Move 1 ending north (2 segments, 2 units):
3 4 D C
$ 1 $ B
A     2

#48. Move 2 west (2 units):
3 4 D C
$ 1 $ B
A 2    

#49. Move B ending west (2 segments, 2 units):
3 4 D C
$ 1 $  
A 2 B  

#50. Move C south (2 units):
3 4 D  
$ 1 $  
A 2 B C

#51. Move D ending south (2 segments, 2 units):
3 4    
$ 1 $ D
A 2 B C

#52. Move 4 east (2 units):
3     4
$ 1 $ D
A 2 B C

#53. Move 3 east (2 units):
    3 4
$ 1 $ D
A 2 B C

#54. Move 1 ending west (2 segments, 2 units):
1   3 4
$   $ D
A 2 B C

#55. Move 2 north (2 units):
1 2 3 4
$   $ D
A   B C

#56. Move B west:
1 2 3 4
$   $ D
A B   C

#57. Move C west:
1 2 3 4
$   $ D
A B C  

#58. Move D south:
1 2 3 4
$   $  
A B C D