Extend Zeno Place Triples


EP4 Triple Mode Constraints



EP4 Triple Mode Derivation

  0 1 2 3 4 5 6 7 8 9
1. Zeno Place Triples 127 345 167 125 367 127 12345 7
2. Extract places made by the hunt bell 1 - - - - - - 7
3. Extract places above the hunt bell 27 345 67 5 67 7 - -
4. Extract places below the hunt bell - - 1 12 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 12 3 12 345 16
6. Separate into two overlapping strips - - 1 12 3
7. Using the start change and overlap 12 3 12 345 16
8. Expand places above mode in [7] to next stage 12 5 12 567 18
9. Connect the static [6] and expanded [8] strip - - 1 12 3 12 5 12 567 18
10. Reverse and invert places in [9] back again 29 345 89 5 89 7 89 9 - -
Expand places below the hunt bell A B C D E F G H
11. Below places from [4] - - 1 12 3 12 12345 -
12. Separate into two overlapping strips - - 1 12 3 12 12345
13. Using the start change and overlap 12 12345 -
14. Expand places above mode in [13] to next stage 12 12347 -
15. Connect the static [12] and the expanded [14] strip - - 1 12 3 12 12345 12 12347 -
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 89 5 89 7 89 9 - -
22. Below places from [15] - - 1 12 3 12 12345 12 12347 -
23. Hunt bell places from [20] 1 - - - - - - - - 9
24. [Unnamed] Bob Caters 129 345 189 125 389 127 1234589 129 12347 9

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

p 1352746 Zeno Place Triples 345.167.125.367.127.12345.7,127
p 135274968 [Unnamed] Bob Caters 345.189.125.389.127.1234589.129.12347.9,129
p 13527496E80 [Unnamed] Bob Cinques 345.10E.125.30E.127.123450E.129.123470E.12E.12349.E,12E
p 13527496E8A0T [Unnamed] Bob Sextuples 345.1TA.125.3TA.127.12345TA.129.12347TA.12E.12349TA.12A.1234E.A,12A
p 13527496E8A0CTB [Unnamed] Bob Septuples 345.1BC.125.3BC.127.12345BC.129.12347BC.12E.12349BC.12A.1234EBC.12C.1234A.C,12C
Triples Caters Cinques Sextuples Septuples
Zeno Place Triples [Unnamed] Bob Caters [Unnamed] Bob Cinques [Unnamed] Bob Sextuples [Unnamed] Bob Septuples