Extend Lower Benefield Surprise Minor


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
1. Lower Benefield Surprise Minor 12 - 56 - 1456 12 - 12 1236 - 34 - 56
2. Extract places made by the hunt bell 1 - - - - - - - - - - - 6
3. Extract places above the hunt bell 2 - 56 - 456 - - - 6 - - - -
4. Extract places below the hunt bell - - - - 1 12 - 12 123 - 34 - 5
Expand places above the hunt bell G F F F E D D D C B B B A
5. Reverse and invert places from [3] - - - - 1 - - - 123 - 12 - 5
6. Separate into two overlapping strips - - - - 1 - - - 123 - 12 - 5
7. Using the start change and overlap - 12 - 5
8. Expand places above mode in [7] to next stage - 12 - 7
9. Connect the static [6] and expanded [8] strip - - - - 1 - - - 123 - 12 - 5 - 12 - 7
10. Reverse and invert places in [9] back again 2 - 78 - 4 - 78 - 678 - - - 8 - - - -
Expand places below the hunt bell A B B B C D D D E F F F G
11. Below places from [4] - - - - 1 12 - 12 123 - 34 - 5
12. Separate into two overlapping strips - - - - 1 12 - 12 123 - 34 - 5
13. Using the start change and overlap - 34 - 5
14. Expand places above mode in [13] to next stage - 56 - 7
15. Connect the static [12] and the expanded [14] strip - - - - 1 12 - 12 123 - 34 - 5 - 56 - 7
Expand places of the hunt bell A B B B C D D D E F F F G
16. Hunt bell places from [2] 1 - - - - - - - - - - - 6
17. Separate into two overlapping strips 1 - - - -
18. Using the start change and overlap - - - - - - - - - - - 6
19. Expand places above mode in [18] to next stage - - - - - - - - - - - 8
20. Connect the static [17] and the expanded [19] strip 1 - - - - - - - - - - - - - - - 8
Recombine above, below and hunt bell places A B B B C D D D E F F F G H H H I
21. Above places from [10] 2 - 78 - 4 - 78 - 678 - - - 8 - - - -
22. Below places from [15] - - - - 1 12 - 12 123 - 34 - 5 - 56 - 7
23. Hunt bell places from [20] 1 - - - - - - - - - - - - - - - 8
24. [Unnamed] Surprise Major 12 - 78 - 14 12 78 12 123678 - 34 - 58 - 56 - 78

Extension and contraction candidates using extension process EP4-2/9:4:2/9:4:1/1:4:1  

f 142635 Lower Benefield Surprise Minor -56-1456.12-12.1236-34-56,12
14263785 [Unnamed] Surprise Major -78-14.12.78.12.123678-34-58-56-78,12
f 1426385079 [Unnamed] Surprise Royal -90-14.12.90.12.1236-3490-5890-56-70-78-90,12
142638507ET9 [Unnamed] Surprise Maximus -ET-14.12.ET.12.1236-34ET-58-56ET-70ET-78-9T-90-ET,12
f 142638507T9BEA [Unnamed] Surprise Fourteen -AB-14.12.AB.12.1236-34AB-58-56AB-70-78AB-9TAB-90-EB-ET-AB,12
142638507T9BECDA [Unnamed] Surprise Sixteen -CD-14.12.CD.12.1236-34CD-58-56CD-70-78CD-9T-90CD-EBCD-ET-AD-AB-CD,12
Minor Major Royal Maximus Fourteen Sixteen
Lower Benefield Surprise Minor [Unnamed] Surprise Major [Unnamed] Surprise Royal [Unnamed] Surprise Maximus [Unnamed] Surprise Fourteen [Unnamed] Surprise Sixteen