Last two checker bearing off models

Positions that have only one or two last checkers on the board to bear off all checkers in 12 pips are displayed.

Each dice table marks dice numbers that bear off all checkers with either  or .
 

is used when each die number can bear off one checker without help of the other. For example, any dice rolls containing 6 can bear off one last checker on the 6 point, and are marked with this black box.
is used when combination of both dice numbers are required to bear off one checker. For example, dice rolls like 4 and 2 can bear off one last checker on the 6 point by using both numbers to bear off one checker, and are marked with this pink box.

12 pip position

pos_12pip_s
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
4 numbers
 
pos_12pip
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
4 numbers
 

11 pip position

pos_11pip_s
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
6 numbers
 
pos_11pip
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
6 numbers
 

10 pip positions

pos_10pip_s
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
8 numbers
 
pos_10pip_a
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
8 numbers
 
pos_10pip_b
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
6 numbers
 

9 pip positions

pos_09pip_s
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
12 numbers
 
pos_09pip_a
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
10 numbers
 
pos_09pip_b
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
10 numbers
 

8 pip positions

pos_08pip_s
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
17 numbers
 
pos_08pip_a
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
14 numbers
 
pos_08pip_b
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
13 numbers
 
pos_08pip_c
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
11 numbers
 

7 pip positions

pos_07pip_s
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
23 numbers
 
pos_07pip_a
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
19 numbers
 
pos_07pip_b
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
17 numbers
 
pos_07pip_c
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
15 numbers
 

6 pip positions

pos_06pip_s
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
27 numbers
 
pos_06pip_a
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
23 numbers
 
pos_06pip_b
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
23 numbers
 
pos_06pip_c
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
17 numbers
 

5 pip positions

pos_05pip_s
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
31 numbers
 
pos_05pip_a
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
29 numbers
 
pos_05pip_b
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
25 numbers
 

4 pip positions

pos_04pip_s
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
34 numbers
 
pos_04pip_a
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
34 numbers
 
pos_04pip_b
 
b1
b2
b3
b4
b5
b6
r1
r2
r3
r4
r5
r6
26 numbers
 

Created by Sho Sengoku