Extend Ellerby Bob Triples


EP4 Triple Mode Constraints



EP4 Triple Mode Derivation

  0 1 2 3 4 5 6 7 8 9
1. Ellerby Bob Triples 127 345 1 12567 3 127 345 7
2. Extract places made by the hunt bell 1 - - - - - - 7
3. Extract places above the hunt bell 27 345 - 567 - 7 - -
4. Extract places below the hunt bell - - 1 12 3 12 345 -
Expand places above the hunt bell H G F E D C B A
5. Reverse and invert places from [3] - - 1 - 123 - 345 16
6. Separate into two overlapping strips - - 1 - 123
7. Using the start change and overlap - 123 - 345 16
8. Expand places above mode in [7] to next stage - 125 - 567 18
9. Connect the static [6] and expanded [8] strip - - 1 - 123 - 125 - 567 18
10. Reverse and invert places in [9] back again 29 345 - 589 - 789 - 9 - -
Expand places below the hunt bell A B C D E F G H
11. Below places from [4] - - 1 12 3 12 345 -
12. Separate into two overlapping strips - - 1 12 3 12 345 -
13. Using the start change and overlap 345 -
14. Expand places above mode in [13] to next stage 347 -
15. Connect the static [12] and the expanded [14] strip - - 1 12 3 12 345 - 347 -
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] 29 345 - 589 - 789 - 9 - -
22. Below places from [15] - - 1 12 3 12 345 - 347 -
23. Hunt bell places from [20] 1 - - - - - - - - 9
24. [Unnamed] Bob Caters 129 345 1 12589 3 12789 345 9 347 9

Extension and contraction candidates using extension process EP4-2/3:2:2/6:2:4/1:2:1  

p 1352746 Ellerby Bob Triples 345.1.12567.3.127.345.7,127
p 135274968 [Unnamed] Bob Caters 345.1.12589.3.12789.345.9.347.9,129
p 13527496E80 [Unnamed] Bob Cinques 345.1.1250E.3.1270E.345.90E.347.E.349.E,12E
p 13527496E8A0T [Unnamed] Bob Sextuples 345.1.125TA.3.127TA.345.9TA.347.ETA.349.A.34E.A,12A
p 13527496E8A0CTB [Unnamed] Bob Septuples 345.1.125BC.3.127BC.345.9BC.347.EBC.349.ABC.34E.C.34A.C,12C
Triples Caters Cinques Sextuples Septuples
Ellerby Bob Triples [Unnamed] Bob Caters [Unnamed] Bob Cinques [Unnamed] Bob Sextuples [Unnamed] Bob Septuples