Extend Bampton Place Doubles


EP4 Triple Mode Constraints



EP4 Triple Mode Derivation

  0 1 2 3 4 5 6 7
1. Bampton Place Doubles 123 5 1 5 123 5
2. Extract places made by the hunt bell 1 - - - - 5
3. Extract places above the hunt bell 23 5 - 5 - -
4. Extract places below the hunt bell - - 1 - 123 -
Expand places above the hunt bell F E D C B A
5. Reverse and invert places from [3] - - 1 - 1 34
6. Separate into two overlapping strips - - 1 - 1 34
7. Using the start change and overlap 1 34
8. Expand places above mode in [7] to next stage 1 56
9. Connect the static [6] and expanded [8] strip - - 1 - 1 34 1 56
10. Reverse and invert places in [9] back again 23 7 45 7 - 7 - -
Expand places below the hunt bell A B C D E F
11. Below places from [4] - - 1 - 123 -
12. Separate into two overlapping strips - - 1
13. Using the start change and overlap - 1 - 123 -
14. Expand places above mode in [13] to next stage - 1 - 145 -
15. Connect the static [12] and the expanded [14] strip - - 1 - 1 - 145 -
Expand places of the hunt bell A B C D E F
16. Hunt bell places from [2] 1 - - - - 5
17. Separate into two overlapping strips 1 - -
18. Using the start change and overlap - - - - 5
19. Expand places above mode in [18] to next stage - - - - 7
20. Connect the static [17] and the expanded [19] strip 1 - - - - - - 7
Recombine above, below and hunt bell places A B C D E F G H
21. Above places from [10] 23 7 45 7 - 7 - -
22. Below places from [15] - - 1 - 1 - 145 -
23. Hunt bell places from [20] 1 - - - - - - 7
24. [Unnamed] Place Triples 123 7 145 7 1 7 145 7

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

14532 Bampton Place Doubles 5.1.5.123.5,123
1476235 [Unnamed] Place Triples 7.145.7.1.7.145.7,123
147923856 [Unnamed] Place Caters 9.145.9.167.9.1.9.167.9,123
147923E5068 [Unnamed] Place Cinques E.145.E.167.E.189.E.1.E.189.E,123
147923E5A6T80 [Unnamed] Place Sextuples A.145.A.167.A.189.A.10E.A.1.A.10E.A,123
147923E5A6C8B0T [Unnamed] Place Septuples C.145.C.167.C.189.C.10E.C.1TA.C.1.C.1TA.C,123
Doubles Triples Caters Cinques Sextuples Septuples
Bampton Place Doubles [Unnamed] Place Triples [Unnamed] Place Caters [Unnamed] Place Cinques [Unnamed] Place Sextuples [Unnamed] Place Septuples