Extend Thornhill 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. Thornhill Surprise Minor 14 - 36 - 14 - 12 - 36 14 - 14 56
2. Extract places made by the hunt bell 1 - - - - - - - - - - - 6
3. Extract places above the hunt bell 4 - 36 - 4 - - - 6 - - - -
4. Extract places below the hunt bell - - - - 1 - 12 - 3 14 - 14 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 - - - 3 - 14 - 3
6. Separate into two overlapping strips - - - - 1 - - - 3 - 14 - 3
7. Using the start change and overlap - - - 3 - 14 - 3
8. Expand places above mode in [7] to next stage - - - 3 - 14 - 3
9. Connect the static [6] and expanded [8] strip - - - - 1 - - - 3 - 14 - 3 - - - 3 - 14 - 3
10. Reverse and invert places in [9] back again 8 - 70 - 8 - - - 8 - 70 - 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 - 14 5
12. Separate into two overlapping strips - - - - 1 - 12 - 3 14 - 14
13. Using the start change and overlap 3 14 - 14 5
14. Expand places above mode in [13] to next stage 5 16 - 16 7 18 - 18 9
15. Connect the static [12] and the expanded [14] strip - - - - 1 - 12 - 3 14 - 14 5 16 - 16 7 18 - 18 9
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] 8 - 70 - 8 - - - 8 - 70 - 8 - - - 0 - - - -
22. Below places from [15] - - - - 1 - 12 - 3 14 - 14 5 16 - 16 7 18 - 18 9
23. Hunt bell places from [20] 1 - - - - - - - - - - - - - - - - - - - 0
24. [Unnamed] Surprise Royal 18 - 70 - 18 - 12 - 38 14 70 14 58 16 - 16 70 18 - 18 90

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

136524 Thornhill Surprise Minor -36-14-12-36.14-14.56,14
1378920564 [Unnamed] Surprise Royal -70-18-12-38.14.70.14.58.16-16.70.18-18.90,18
13045B96TA287E [Unnamed] Surprise Fourteen -EB-1T-12-3T.14.EB.14.5T.16-16.7T.18.EB.18.9T.10-10.EB.1T-1T.AB,1T
Minor Royal Fourteen
Thornhill Surprise Minor [Unnamed] Surprise Royal [Unnamed] Surprise Fourteen