Extend Gillett Alliance Major


EP4 Triple Mode Constraints



EP4 Triple Mode Derivation

  0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
1. Gillett Alliance Major 12 - 38 - 14 - 58 - 36 - 14 - 18 34 56 78
2. Extract places made by the hunt bell 1 - - - - - - - - - - - - - - 7
3. Extract places above the hunt bell 2 - 38 - 4 - 58 - 6 - - - 8 - - 8
4. Extract places below the hunt bell - - - - 1 - - - 3 - 14 - 1 34 56 -
Expand places above the hunt bell I H H G F F F E D D D C B B B A
5. Reverse and invert places from [3] 1 - - 1 - - - 3 - 14 - 5 - 16 - 7
6. Separate into two overlapping strips 1 - - 1 - - - 3 - 14
7. Using the start change and overlap - 3 - 14 - 5 - 16 - 7
8. Expand places above mode in [7] to next stage - 5 - 16 - 7 - 18 - 9
9. Connect the static [6] and expanded [8] strip 1 - - 1 - - - 3 - 14 - 5 - 16 - 7 - 18 - 9
10. Reverse and invert places in [9] back again 2 - 30 - 4 - 50 - 6 - 70 - 8 - - - 0 - - 0
Expand places below the hunt bell A B B B C D D D E F F F G H H I
11. Below places from [4] - - - - 1 - - - 3 - 14 - 1 34 56 -
12. Separate into two overlapping strips - - - - 1
13. Using the start change and overlap - - - 1 - - - 3 - 14 - 1 34 56 -
14. Expand places above mode in [13] to next stage - - - 1 - - - 3 - 14 - 1 34 78 -
15. Connect the static [12] and the expanded [14] strip - - - - 1 - - - 1 - - - 3 - 14 - 1 34 78 -
Expand places of the hunt bell A B B B C D D D E F F F G H H I
16. Hunt bell places from [2] 1 - - - - - - - - - - - - - - 7
17. Separate into two overlapping strips 1 - -
18. Using the start change and overlap - - - - - - - - - - - - - - 7
19. Expand places above mode in [18] to next stage - - - - - - - - - - - - - - - - 9
20. Connect the static [17] and the expanded [19] strip 1 - - - - - - - - - - - - - - - - - - 9
Recombine above, below and hunt bell places A B B B C D D D E F F F G H H H I J J K
21. Above places from [10] 2 - 30 - 4 - 50 - 6 - 70 - 8 - - - 0 - - 0
22. Below places from [15] - - - - 1 - - - 1 - - - 3 - 14 - 1 34 78 -
23. Hunt bell places from [20] 1 - - - - - - - - - - - - - - - - - - 9
24. [Unnamed] Alliance Royal 12 - 30 - 14 - 50 - 16 - 70 - 38 - 14 - 10 34 78 90

Extension and contraction candidates using extension process EP4-2/6:4:1/1:4:4/1:2:1  

b 15738264 Gillett Alliance Major -38-14-58-36-14-18.34.56.78,12
b 1573920486 [Unnamed] Alliance Royal -30-14-50-16-70-38-14-10.34.78.90,12
b 157392E4T608 [Unnamed] Alliance Maximus -3T-14-5T-16-7T-18-9T-30-14-1T.34.90.ET,12
b 157392E4A6B8T0 [Unnamed] Alliance Fourteen -3B-14-5B-16-7B-18-9B-10-EB-3T-14-1B.34.ET.AB,12
b 157392E4A6C8D0BT [Unnamed] Alliance Sixteen -3D-14-5D-16-7D-18-9D-10-ED-1T-AD-3B-14-1D.34.AB.CD,12
Major Royal Maximus Fourteen Sixteen
Gillett Alliance Major [Unnamed] Alliance Royal [Unnamed] Alliance Maximus [Unnamed] Alliance Fourteen [Unnamed] Alliance Sixteen