Extend Ugthorpe Bob Triples


EP4 Triple Mode Constraints



EP4 Triple Mode Derivation

  0 1 2 3 4 5 6 7 8 9
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 16
7. Using the start change and overlap 12345 16
8. Expand places above mode in [7] to next stage 12367 18
9. Connect the static [6] and expanded [8] strip - - 1 - 123 - 12345 16 12367 18
10. Reverse and invert places in [9] back again 29 34789 49 56789 - 789 - 9 - -
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 12 12345 -
14. Expand places above mode in [13] to next stage 12 12345 -
15. Connect the static [12] and the expanded [14] strip - - 1 - 3 12 12345 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 - - - - - - 9
20. Connect the static [17] and the expanded [19] strip 1 - - - - - - - - 9
Recombine above, below and hunt bell places A B C D E F G H I J
21. Above places from [10] 29 34789 49 56789 - 789 - 9 - -
22. Below places from [15] - - 1 - 3 12 12345 12 12345 -
23. Hunt bell places from [20] 1 - - - - - - - - 9
24. [Unnamed] Bob Caters 129 34789 149 56789 3 12789 12345 129 12345 9

Extension and contraction candidates using extension process EP4-2/6:2:3/5:2:5/1:2:1  

p 1352746 Ugthorpe Bob Triples 34567.1.567.3.127.12345.7,127
p 135274968 [Unnamed] Bob Caters 34789.149.56789.3.12789.12345.129.12345.9,129
1352E490786 [Unnamed] Differential Bob Cinques 3490E.14E.5690E.36E.127890E.12345.1290E.12345.12E.12345.E,12E
1352A40E8T976 [Unnamed] Differential Bob Sextuples 34ETA.14A.56ETA.36A.1278ETA.123458A.1290ETA.12345.12ETA.12345.12A.12345.A,12A
1352C4TBEA80796 [Unnamed] Differential Bob Septuples 34ABC.14C.56ABC.36C.1278ABC.123458C.1290ABC.123450C.12ETABC.12345.12ABC.12345.12C.12345.C,12C
Triples Caters Cinques Sextuples Septuples
Ugthorpe Bob Triples [Unnamed] Bob Caters [Unnamed] Differential Bob Cinques [Unnamed] Differential Bob Sextuples [Unnamed] Differential Bob Septuples