Starting Position

Current Position

Minimal number of moves.
The difference between Jemimah's dice decreased by 1 each roll.
How did the game go?
It is fairly easy to see that 5 moves are not enough, but there are a
number of 6move solutions. In order to have 4 men sent back these must
follow this general outline:
 Player A leaves a forward blot
 Player B hits from the 24point and also leaves a forward blot
 A hits B's forward blot when entering and again hits in his own board while leaving another forward blot on the 2 point
 B hits A's forward blot when entering his 2 men and again hits in his own board while leaving yet another forward blot on the 2 point
 A enters 2 men, hits and tidies up
 B enters and tidies up
It is clear that both players must also hit in their own boards on
moves 3 or 4. If the hitting man from moves 2 or 3 is left on the 3,4
or 5 points it can not go backwards in the last move to form the double
anchor, so it must be hit to reenter. If it is on the 2 point it will
necessarily be hit as the last blot must be left there so that we may
hit and tidy up on the last moves. (Actually, the 1 point is also a
contender for placing the last blot, but I've checked that there are no
variations where this work).
This means that moves 4 and 5 must be doubles. Then we can
already deduce that Jemimah was player A moving first, and that her
dice differed by 2, 1 and 0 respectively.
To be able to enter two blots and hit and blot on the 2point
the 4th roll must be 22, and this move must be either bar/23*(2) 6/2*
or bar/23*(2) 6/4*/2, meaning that Jemimah entered in move 3 with a 2
or a 4. This means that her number that hit and left the blot on the
2point must have been odd, so she cannot have moved from the 6 or
8points. The only possibility is that she moved with a 5 from the
7point, again meaning that she must have moved 13/7 in her first move.
Putting it all together the game played went:
Jemimah

Harvey

64: 13/7 6/2

41:
24/23* 8/4

54:
b/21* 7/2*

22:
b/23*(2) 6/4*/2

11:
b/23*(2)

51:
b/24 13/8

Show game
The following table shows all the other variations that go from backgammon to Nackgammon in 6 moves:

Player 1, roll 1

Player 2, roll 1

Player 1, roll 2

Player 2, roll 2

Player 1, roll 3

Player 2, roll 3

a

63/54: 13/4

43:
24/21* 8/4

22:
b/21* 6/4*/2

22:
b/23*(2) 6/4*/2

11:
b/23*(2)

51:
b/24 13/8

b

63/54: 13/4

63:
24/21* 8/2

22:
b/23*/21 6/4*/2

22:
b/23*(2) 6/4*/2

11:
b/23*(2)

51:
b/24 13/8

c

63/54: 13/4

33:
24/21* 13/10 8/2

22:
b/23*/21 6/4*/2

22:
b/23*(2) 6/4*/2

11:
b/23*(2)

21:
b/24 10/8

d

65: 13/2

41:
24/23* 8/4

22:
b/21* 6/2*

22:
b/23*(2) 6/4*/2

11:
b/23*(2)

51:
b/24 13/8

e

65: 13/2

61:
24/23* 8/2

22:
b/23*/21 6/2*

22:
b/23*(2) 6/4*/2

11:
b/23*(2)

51:
b/24 13/8

f

65: 13/2

61:
24/23* 8/2

42:
b/23* 6/2*

22:
b/23*(2) 6/2*

11:
b/23*(2)

51:
b/24 13/8

g

43: 13/10 8/4

63:
24/21* 8/2

22:
b/23* 10/8 6/4*/2

22:
b/23*(2) 6/2*

11:
b/23*(2)

51:
b/24 13/8

h

43: 13/10 8/4

33:
24/21* 13/10 8/2

22:
b/23* 10/8 6/4*/2

22:
b/23*(2) 6/2*

11:
b/23*(2)

21:
b/24 10/8

i

63: 13/10 8/2

61:
24/23* 8/2

22:
b/23* 10/8 6/2*

22:
b/23*(2) 6/2*

11:
b/23*(2)

51:
b/24 13/8

j

32: 13/10 6/4

43:
24/21* 8/4

22:
b/21* 6/4*/2

22:
b/23*(2) 6/4*/2

22:
b/23*(2) 10/6

51:
b/24 13/8

k

32: 13/10 6/4

63:
24/21* 8/2

22:
b/23*/21 6/4*/2

22:
b/23*(2) 6/4*/2

22:
b/23*(2) 10/6

51:
b/24 13/8

l

32: 13/10 6/4

33:
24/21* 13/10 8/2

22:
b/23*/21 6/4*/2

22:
b/23*(2) 6/4*/2

22:
b/23*(2) 10/6

21:
b/24 10/8

m

43: 13/10 6/2

41:
24/23* 8/4

22:
b/21* 6/2*

22:
b/23*(2) 6/4*/2

22:
b/23*(2) 10/6

51:
b/24 13/8

n

43: 13/10 6/2

61:
24/23* 8/2

22:
b/23*/21 6/2*

22:
b/23*(2) 6/4*/2

22:
b/23*(2) 10/6

51:
b/24 13/8

o

54: 13/8 6/2

61:
24/23* 8/2

62:
b/23* 8/2*

22:
b/23*(2) 6/2*

11:
b/23*(2)

51:
b/24 13/8

p

54: 13/8 6/2

41:
24/23* 8/4

64:
b/21* 8/2*

22:
b/23*(2) 6/4*/2

11:
b/23*(2)

51:
b/24 13/8

q

54: 13/8 6/2

61:
24/23* 8/2

22:
b/23* 8/2*

22:
b/23*(2) 6/2*

11:
b/23*(2)

51:
b/24 13/8

r

64: 13/7 6/2

61:
24/23* 8/2

52:
b/23* 7/2*

22:
b/23*(2) 6/2*

11:
b/23*(2)

51:
b/24 13/8

s

64: 13/7 6/2

41:
24/23* 8/4

54:
b/21* 7/2*

22:
b/23*(2) 6/4*/2

11:
b/23*(2)

51:
b/24 13/8

