Extend Birch Bob Triples


EP4 Triple Mode Constraints



EP4 Triple Mode Derivation

  0 1 2 3 4 5 6 7 8 9
1. Birch Bob Triples 127 367 1 5 3 127 125 7
2. Extract places made by the hunt bell 1 - - - - - - 7
3. Extract places above the hunt bell 27 367 - 5 - 7 - -
4. Extract places below the hunt bell - - 1 - 3 12 125 -
Expand places above the hunt bell H G F E D C B A
5. Reverse and invert places from [3] - - 1 - 3 - 125 16
6. Separate into two overlapping strips - - 1 - 3
7. Using the start change and overlap - 3 - 125 16
8. Expand places above mode in [7] to next stage - 3 - 127 18
9. Connect the static [6] and expanded [8] strip - - 1 - 3 - 3 - 127 18
10. Reverse and invert places in [9] back again 29 389 - 7 - 7 - 9 - -
Expand places below the hunt bell A B C D E F G H
11. Below places from [4] - - 1 - 3 12 125 -
12. Separate into two overlapping strips - - 1 - 3 12
13. Using the start change and overlap 3 12 125 -
14. Expand places above mode in [13] to next stage 3 12 127 -
15. Connect the static [12] and the expanded [14] strip - - 1 - 3 12 3 12 127 -
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] 29 389 - 7 - 7 - 9 - -
22. Below places from [15] - - 1 - 3 12 3 12 127 -
23. Hunt bell places from [20] 1 - - - - - - - - 9
24. [Unnamed] Bob Caters 129 389 1 7 3 127 3 129 127 9

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

p 1352746 Birch Bob Triples 367.1.5.3.127.125.7,127
p 135274968 [Unnamed] Bob Caters 389.1.7.3.127.3.129.127.9,129
p 13527496E80 [Unnamed] Bob Cinques 30E.1.9.3.129.3.129.3.12E.129.E,12E
p 13527496E8A0T [Unnamed] Bob Sextuples 3TA.1.E.3.12E.3.12E.3.12E.3.12A.12E.A,12A
p 13527496E8A0CTB [Unnamed] Bob Septuples 3BC.1.A.3.12A.3.12A.3.12A.3.12A.3.12C.12A.C,12C
Triples Caters Cinques Sextuples Septuples
Birch Bob Triples [Unnamed] Bob Caters [Unnamed] Bob Cinques [Unnamed] Bob Sextuples [Unnamed] Bob Septuples