Extend Bernard 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 17 18 19 20
1. Bernard Surprise Minor 12 - 56 - 14 - 12 - 36 - 14 - 36
2. Extract places made by the hunt bell 1 - - - - - - - - - - - 6
3. Extract places above the hunt bell 2 - 56 - 4 - - - 6 - - - -
4. Extract places below the hunt bell - - - - 1 - 12 - 3 - 14 - 3
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 - - - 3 - 12 - 5
6. Separate into two overlapping strips - - - - 1 - - - 3
7. Using the start change and overlap - - - 3 - 12 - 5
8. Expand places above mode in [7] to next stage - - - 5 - - - 7 - 12 - 9
9. Connect the static [6] and expanded [8] strip - - - - 1 - - - 3 - - - 5 - - - 7 - 12 - 9
10. Reverse and invert places in [9] back again 2 - 90 - 4 - - - 6 - - - 8 - - - 0 - - - -
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 - 3 - 14 - 3
12. Separate into two overlapping strips - - - - 1 - 12 - 3 - 14
13. Using the start change and overlap - 1 - 12 - 3 - 14 - 3
14. Expand places above mode in [13] to next stage - 1 - 12 - 3 - 14 - 3
15. Connect the static [12] and the expanded [14] strip - - - - 1 - 12 - 3 - 14 - 1 - 12 - 3 - 14 - 3
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 - - - - - - - - - - - - - - - 0
20. Connect the static [17] and the expanded [19] strip 1 - - - - - - - - - - - - - - - - - - - 0
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 J K
21. Above places from [10] 2 - 90 - 4 - - - 6 - - - 8 - - - 0 - - - -
22. Below places from [15] - - - - 1 - 12 - 3 - 14 - 1 - 12 - 3 - 14 - 3
23. Hunt bell places from [20] 1 - - - - - - - - - - - - - - - - - - - 0
24. [Unnamed] Surprise Royal 12 - 90 - 14 - 12 - 36 - 14 - 18 - 12 - 30 - 14 - 30

Extension and contraction candidates using extension process EP4-4/5:4:2/3:8:4/1:4:1  

b 156342 Bernard Surprise Minor -56-14-12-36-14-36,12
c1 1907856342 [Unnamed] Surprise Royal -90-14-12-36-14-18-12-30-14-30,12
c3 1ABET907856342 [Unnamed] Surprise Fourteen -AB-14-12-36-14-18-12-30-14-1T-12-3B-14-3B,12
Minor Royal Fourteen
Bernard Surprise Minor [Unnamed] Surprise Royal [Unnamed] Surprise Fourteen