Extend Somersham 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. Somersham Surprise Minor 12 56 - 36 14 - 12 - 36 - 14 - 36
2. Extract places made by the hunt bell 1 - - - - - - - - - - - 6
3. Extract places above the hunt bell 2 56 - 36 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 14 - 12 5
6. Separate into two overlapping strips - - - - 1 - - - 3
7. Using the start change and overlap - - - 3 14 - 12 5
8. Expand places above mode in [7] to next stage - - - 3 - - - 3 18 - 12 9
9. Connect the static [6] and expanded [8] strip - - - - 1 - - - 3 - - - 3 - - - 3 18 - 12 9
10. Reverse and invert places in [9] back again 2 90 - 30 8 - - - 8 - - - 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 - 16 - 7 - 18 - 7
15. Connect the static [12] and the expanded [14] strip - - - - 1 - 12 - 3 - 14 - 1 - 16 - 7 - 18 - 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 - - - - - - - - - - - - - - - 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 - 30 8 - - - 8 - - - 8 - - - 0 - - - -
22. Below places from [15] - - - - 1 - 12 - 3 - 14 - 1 - 16 - 7 - 18 - 7
23. Hunt bell places from [20] 1 - - - - - - - - - - - - - - - - - - - 0
24. [Unnamed] Surprise Royal 12 90 - 30 18 - 12 - 38 - 14 - 18 - 16 - 70 - 18 - 70

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

142563 Somersham Surprise Minor 56-36.14-12-36-14-36,12
1934856072 [Unnamed] Surprise Royal 90-30.18-12-38-14-18-16-70-18-70,12
18T9A520734BE6 [Unnamed] Surprise Fourteen AB-3B.1T-12-3T-14-1T-16-7T-18-1T-10-EB-1T-EB,12
Minor Royal Fourteen
Somersham Surprise Minor [Unnamed] Surprise Royal [Unnamed] Surprise Fourteen