Extend Esterhazy Bob Triples


EP4 Triple Mode Constraints



EP4 Triple Mode Derivation

  0 1 2 3 4 5 6 7 8 9
1. Esterhazy Bob Triples 127 34567 1 5 367 7 125 7
2. Extract places made by the hunt bell 1 - - - - - - 7
3. Extract places above the hunt bell 27 34567 - 5 67 7 - -
4. Extract places below the hunt bell - - 1 - 3 - 125 -
Expand places above the hunt bell H G F E D C B A
5. Reverse and invert places from [3] - - 1 12 3 - 12345 16
6. Separate into two overlapping strips - - 1 12 3 - 12345
7. Using the start change and overlap - 12345 16
8. Expand places above mode in [7] to next stage - 14567 18
9. Connect the static [6] and expanded [8] strip - - 1 12 3 - 12345 - 14567 18
10. Reverse and invert places in [9] back again 29 34569 - 56789 - 7 89 9 - -
Expand places below the hunt bell A B C D E F G H
11. Below places from [4] - - 1 - 3 - 125 -
12. Separate into two overlapping strips - - 1 - 3 - 125
13. Using the start change and overlap - 125 -
14. Expand places above mode in [13] to next stage - 125 -
15. Connect the static [12] and the expanded [14] strip - - 1 - 3 - 125 - 125 -
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 34569 - 56789 - 7 89 9 - -
22. Below places from [15] - - 1 - 3 - 125 - 125 -
23. Hunt bell places from [20] 1 - - - - - - - - 9
24. [Unnamed] Bob Caters 129 34569 1 56789 3 7 12589 9 125 9

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

p 1352746 Esterhazy Bob Triples 34567.1.5.367.7.125.7,127
p 135274968 [Unnamed] Bob Caters 34569.1.56789.3.7.12589.9.125.9,129
p 13527496E80 [Unnamed] Bob Cinques 3456E.1.5678E.3.7890E.125.9.1250E.E.125.E,12E
p 13527496E8A0T [Unnamed] Bob Sextuples 3456A.1.5678A.3.7890A.125.90ETA.125.E.125TA.A.125.A,12A
p 13527496E8A0CTB [Unnamed] Bob Septuples 3456C.1.5678C.3.7890C.125.90ETC.125.ETABC.125.A.125BC.C.125.C,12C
Triples Caters Cinques Sextuples Septuples
Esterhazy Bob Triples [Unnamed] Bob Caters [Unnamed] Bob Cinques [Unnamed] Bob Sextuples [Unnamed] Bob Septuples