Extend Urquhart Castle 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. Urquhart Castle Surprise Minor 16 - 34 - 1456 - 1256 - 36 14 - 34 56
2. Extract places made by the hunt bell 1 - - - - - - - - - - - 6
3. Extract places above the hunt bell 6 - 34 - 456 - 56 - 6 - - - -
4. Extract places below the hunt bell - - - - 1 - 12 - 3 14 - 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 - 12 - 123 - 34 - 1
6. Separate into two overlapping strips - - - - 1 - 12 - 123 - 34
7. Using the start change and overlap - 123 - 34 - 1
8. Expand places above mode in [7] to next stage - 125 - 56 - 127 - 78 - 1
9. Connect the static [6] and expanded [8] strip - - - - 1 - 12 - 123 - 34 - 125 - 56 - 127 - 78 - 1
10. Reverse and invert places in [9] back again 0 - 34 - 490 - 56 - 690 - 78 - 890 - 90 - 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 - 34 5
12. Separate into two overlapping strips - - - - 1 - 12 - 3 14 - 34
13. Using the start change and overlap 1 - 12 - 3 14 - 34 5
14. Expand places above mode in [13] to next stage 1 - 16 - 7 18 - 78 9
15. Connect the static [12] and the expanded [14] strip - - - - 1 - 12 - 3 14 - 34 1 - 16 - 7 18 - 78 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] 0 - 34 - 490 - 56 - 690 - 78 - 890 - 90 - 0 - - - -
22. Below places from [15] - - - - 1 - 12 - 3 14 - 34 1 - 16 - 7 18 - 78 9
23. Hunt bell places from [20] 1 - - - - - - - - - - - - - - - - - - - 0
24. [Unnamed] Surprise Royal 10 - 34 - 1490 - 1256 - 3690 14 78 34 1890 - 1690 - 70 18 - 78 90

Extension and contraction candidates using extension process EP4-4/7:4:2/4:8:1/1:4:1  

146532 Urquhart Castle Surprise Minor -34-1456-1256-36.14-34.56,16
1503684972 [Unnamed] Surprise Royal -34-1490-1256-3690.14.78.34.1890-1690-70.18-78.90,10
17B693540T8AE2 [Unnamed] Surprise Fourteen -34-14AB-1256-36AB.14.78.34.18AB-1690-70AB.18.ET.78.1TAB-10AB-EB.1T-ET.AB,1B
Minor Royal Fourteen
Urquhart Castle Surprise Minor [Unnamed] Surprise Royal [Unnamed] Surprise Fourteen