Extend Ugthorpe Bob Triples


EP4 Triple Mode Constraints



EP4 Triple Mode Derivation

  0 1 2 3 4 5 6 7 8 9 10 11
1. Ugthorpe Bob Triples 127 34567 1 567 3 127 12345 7
2. Extract places made by the hunt bell 1 - - - - - - 7
3. Extract places above the hunt bell 27 34567 - 567 - 7 - -
4. Extract places below the hunt bell - - 1 - 3 12 12345 -
Expand places above the hunt bell H G F E D C B A
5. Reverse and invert places from [3] - - 1 - 123 - 12345 16
6. Separate into two overlapping strips - - 1 - 123 - 12345
7. Using the start change and overlap - 123 - 12345 16
8. Expand places above mode in [7] to next stage - 123 - 12345 10
9. Connect the static [6] and expanded [8] strip - - 1 - 123 - 12345 - 123 - 12345 10
10. Reverse and invert places in [9] back again 2E 7890E - 90E - 7890E - 90E - E - -
Expand places below the hunt bell A B C D E F G H
11. Below places from [4] - - 1 - 3 12 12345 -
12. Separate into two overlapping strips - - 1 - 3 12 12345
13. Using the start change and overlap - 3 12 12345 -
14. Expand places above mode in [13] to next stage - 3 12 12345 -
15. Connect the static [12] and the expanded [14] strip - - 1 - 3 12 12345 - 3 12 12345 -
Expand places of the hunt bell A B C D E F G H
16. Hunt bell places from [2] 1 - - - - - - 7
17. Separate into two overlapping strips 1 - -
18. Using the start change and overlap - - - - - - 7
19. Expand places above mode in [18] to next stage - - - - - - - - E
20. Connect the static [17] and the expanded [19] strip 1 - - - - - - - - - - E
Recombine above, below and hunt bell places A B C D E F G H I J K L
21. Above places from [10] 2E 7890E - 90E - 7890E - 90E - E - -
22. Below places from [15] - - 1 - 3 12 12345 - 3 12 12345 -
23. Hunt bell places from [20] 1 - - - - - - - - - - E
24. [Unnamed] Bob Cinques 12E 7890E 1 90E 3 127890E 12345 90E 3 12E 12345 E

Extension and contraction candidates using extension process EP4-4/3:4:5/3:4:5/1:2:1  

p 1352746 Ugthorpe Bob Triples 34567.1.567.3.127.12345.7,127
q 142638507E9 [Unnamed] Bob Cinques 7890E.1.90E.3.127890E.12345.90E.3.12E.12345.E,12E
14297EB6C3A58T0 [Unnamed] Differential Bob Septuples ETABC.1.ABC.3.12ETABC.12345.ABC.3.12ETABC.12345.ABC.3.12C.12345.C,12C
Triples Cinques Septuples
Ugthorpe Bob Triples [Unnamed] Bob Cinques [Unnamed] Differential Bob Septuples