Extend Carlisle Surprise Royal

Accepted extension path EP3-1AB/1DE, EP4-2/8:4:1/5:4:1

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 21 22 23 24
1. Carlisle Surprise Royal 12 34 - 30 14 56 12 50 36 78 14 70 58 - 16 - 70 - 18 - 90
2. Extract places made by the hunt bell 1 - - - - - - - - - - - - - - - - - - - 0
3. Extract places above the hunt bell 2 34 - 30 4 56 - 50 6 78 - 70 8 - - - 0 - - - -
4. Extract places below the hunt bell - - - - 1 - 12 - 3 - 14 - 5 - 16 - 7 - 18 - 9
Expand places above the hunt bell K J J J I H H H G F F F E D D D C B B B A
5. Reverse and invert places from [3] - - - - 1 - - - 3 14 - 34 5 16 - 56 7 18 - 78 9
6. Separate into two overlapping strips - - - - 1 - - - 3 14 - 34
7. Using the start change and overlap 3 14 - 34 5 16 - 56 7 18 - 78 9
8. Expand places above mode in [7] to next stage 5 16 - 56 7 18 - 78 9 10 - 90 E
9. Connect the static [6] and expanded [8] strip - - - - 1 - - - 3 14 - 34 5 16 - 56 7 18 - 78 9 10 - 90 E
10. Reverse and invert places in [9] back again 2 34 - 3T 4 56 - 5T 6 78 - 7T 8 90 - 9T 0 - - - T - - - -
Expand places below the hunt bell A B B B C D D D E F F F G H H H I J J J K
11. Below places from [4] - - - - 1 - 12 - 3 - 14 - 5 - 16 - 7 - 18 - 9
12. Separate into two overlapping strips - - - - 1 - 12 - 3
13. Using the start change and overlap - 12 - 3 - 14 - 5 - 16 - 7 - 18 - 9
14. Expand places above mode in [13] to next stage - 14 - 5 - 16 - 7 - 18 - 9 - 10 - E
15. Connect the static [12] and the expanded [14] strip - - - - 1 - 12 - 3 - 14 - 5 - 16 - 7 - 18 - 9 - 10 - E
Expand places of the hunt bell A B B B C D D D E F F F G H H H I J J J K
16. Hunt bell places from [2] 1 - - - - - - - - - - - - - - - - - - - 0
17. Separate into two overlapping strips 1 - - - -
18. Using the start change and overlap - - - - - - - - - - - - - - - - - - - 0
19. Expand places above mode in [18] to next stage - - - - - - - - - - - - - - - - - - - T
20. Connect the static [17] and the expanded [19] strip 1 - - - - - - - - - - - - - - - - - - - - - - - T
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 L L L M
21. Above places from [10] 2 34 - 3T 4 56 - 5T 6 78 - 7T 8 90 - 9T 0 - - - T - - - -
22. Below places from [15] - - - - 1 - 12 - 3 - 14 - 5 - 16 - 7 - 18 - 9 - 10 - E
23. Hunt bell places from [20] 1 - - - - - - - - - - - - - - - - - - - - - - - T
24. Carlisle Surprise Maximus 12 34 - 3T 14 56 12 5T 36 78 14 7T 58 90 16 9T 70 - 18 - 9T - 10 - ET

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

a 135264 Carlisle Surprise Minor 34-36.14-12-36-14-56,12
c 17856342 Carlisle Surprise Major 34-38.14.56.12.58.36-14-58-16-78,12
d1 1089674523 Carlisle Surprise Royal 34-30.14.56.12.50.36.78.14.70.58-16-70-18-90,12
d1 108T6E492735 Carlisle Surprise Maximus 34-3T.14.56.12.5T.36.78.14.7T.58.90.16.9T.70-18-9T-10-ET,12
d1 108T6B4A2E3957 [Unnamed] Surprise Fourteen 34-3B.14.56.12.5B.36.78.14.7B.58.90.16.9B.70.ET.18.EB.9T-10-EB-1T-AB,12
d1 108T6B4D2C3A5E79 [Unnamed] Surprise Sixteen 34-3D.14.56.12.5D.36.78.14.7D.58.90.16.9D.70.ET.18.ED.9T.AB.10.AD.EB-1T-AD-1B-CD,12
Minor Major Royal Maximus Fourteen Sixteen
Carlisle Surprise Minor Carlisle Surprise Major Carlisle Surprise Royal Carlisle Surprise Maximus [Unnamed] Surprise Fourteen [Unnamed] Surprise Sixteen