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
7. Using the start change and overlap - 123 - 12 - 5
8. Expand places above mode in [7] to next stage - 125 - 12 - 7
9. Connect the static [6] and expanded [8] strip - - - - 1 - - - 123 - 12 - 125 - 12 - 7
10. Reverse and invert places in [9] back again 2 - 78 - 478 - 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
13. Using the start change and overlap 1 12 - 12 123 - 34 - 5
14. Expand places above mode in [13] to next stage 1 14 - 14 145 - 56 - 7
15. Connect the static [12] and the expanded [14] strip - - - - 1 12 - 12 1 14 - 14 145 - 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 - 478 - 78 - 678 - - - 8 - - - -
22. Below places from [15] - - - - 1 12 - 12 1 14 - 14 145 - 56 - 7
23. Hunt bell places from [20] 1 - - - - - - - - - - - - - - - 8
24. [Unnamed] Surprise Major 12 - 78 - 1478 12 78 12 1678 14 - 14 1458 - 56 - 78

Extension and contraction candidates using extension process EP4-2/7:4:2/4:4:1/1:4:1  

f 142635 Lower Benefield Surprise Minor -56-1456.12-12.1236-34-56,12
f 14263857 [Unnamed] Surprise Major -78-1478.12.78.12.1678.14-14.1458-56-78,12
1634285079 [Unnamed] Surprise Royal -90-1490.12.90.12.1690.14.90.14.1890.16-16.1670-78-90,12
185634207T9E [Unnamed] Differential Surprise Maximus -ET-14ET.12.ET.12.16ET.14.ET.14.18ET.16.ET.16.10ET.18-18.189T-90-ET,12
107856342T9BEA [Unnamed] Differential Surprise Fourteen -AB-14AB.12.AB.12.16AB.14.AB.14.18AB.16.AB.16.10AB.18.AB.18.1TAB.10-10.10EB-ET-AB,12
1T907856342BEDAC [Unnamed] Differential Surprise Sixteen -CD-14CD.12.CD.12.16CD.14.CD.14.18CD.16.CD.16.10CD.18.CD.18.1TCD.10.CD.10.1BCD.1T-1T.1TAD-AB-CD,12
Minor Major Royal Maximus Fourteen Sixteen
Lower Benefield Surprise Minor [Unnamed] Surprise Major [Unnamed] Surprise Royal [Unnamed] Differential Surprise Maximus [Unnamed] Differential Surprise Fourteen [Unnamed] Differential Surprise Sixteen