Extend Billingley 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. Billingley Surprise Minor 16 - 34 - 14 - 12 - 36 12 - 14 36
2. Extract places made by the hunt bell 1 - - - - - - - - - - - 6
3. Extract places above the hunt bell 6 - 34 - 4 - - - 6 - - - -
4. Extract places below the hunt bell - - - - 1 - 12 - 3 12 - 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 - 34 - 1
6. Separate into two overlapping strips - - - - 1 - - - 3
7. Using the start change and overlap - - - 1 - - - 3 - 34 - 1
8. Expand places above mode in [7] to next stage - - - 1 - - - 7 - 78 - 1
9. Connect the static [6] and expanded [8] strip - - - - 1 - - - 3 - - - 1 - - - 7 - 78 - 1
10. Reverse and invert places in [9] back again 0 - 34 - 4 - - - 0 - - - 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 12 - 14 3
12. Separate into two overlapping strips - - - - 1 - 12 - 3 12 - 14
13. Using the start change and overlap 3 12 - 14 3
14. Expand places above mode in [13] to next stage 3 12 - 16 3 12 - 18 3
15. Connect the static [12] and the expanded [14] strip - - - - 1 - 12 - 3 12 - 14 3 12 - 16 3 12 - 18 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] 0 - 34 - 4 - - - 0 - - - 8 - - - 0 - - - -
22. Below places from [15] - - - - 1 - 12 - 3 12 - 14 3 12 - 16 3 12 - 18 3
23. Hunt bell places from [20] 1 - - - - - - - - - - - - - - - - - - - 0
24. [Unnamed] Differential Surprise Royal 10 - 34 - 14 - 12 - 30 12 - 14 38 12 - 16 30 12 - 18 30

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

134625 Billingley Surprise Minor -34-14-12-36.12-14.36,16
1340298765 [Unnamed] Differential Surprise Royal -34-14-12-30.12-14.38.12-16.30.12-18.30,10
13402A8E6957BT [Unnamed] Surprise Fourteen -34-14-12-3B.12-14.38.12-16.3B.12-18.3T.12-10.3B.12-1T.3B,1B
Minor Royal Fourteen
Billingley Surprise Minor [Unnamed] Differential Surprise Royal [Unnamed] Surprise Fourteen