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Minor principles - work by Chris Munday


A complete principle on N bells may be defined as one which contains N! rows in the plain course.
Considering Minor, I have restricted the search to LH = 16, which means that HL must be = x , as in Original.
This means that the following groups of leadheads and leadends are possible, since at the HL it is NOT allowed to cross over 1 and 6, 2 and 3, or 4 and 5. Since each group is essentially a 6-part it is only possible to have LH2 or LH6 from each group. This has led me to classify the principles as G1F (forwards), G1B (backwards), G2F , G2B etc.
                   G1        G2        G3        G4

   LH1    +      123456    123456    123456    123456
   LE1    -      214365    215634    456123    465132
   LH2    -      241635    251364    465213    456312     F
   LE2    +      426153    526413    213465    321465
   LH3    +      462513    562143    231645    312645
   LE3    -      645231    654321    645231    654321
   LH4    -      654321    645231    654321    645231
   LE4    +      563412    463152    321654    213654
   LH5    +      536142    436512    312564    231564
   LE5    -      351624    341265    564312    546213
   LH6    -      315264    314625    546132    564123     B
   LE6    +      132546    132546    132546    132546

   Half lead pairs:

   G1F   12/34/56        G1B   13/25/46
   G2F   12/35/46        G2B   13/24/56
   G3F   14/25/36        G3B   15/26/34
   G4F   14/26/35        G4B   15/24/36



Click this link for a summary of the 65's at backstroke in each group.
  • summary65
  • These pages give the individual results of the searching to date
    The format is as follows - place notation, half lead, lead head, group, no of 65s at backstroke.
    
  • G134a 3.8MB Group 1 starting with 34
  • G134b 4.2MB Group 1 starting with 34 (cont'd)
  • G134c 3.6MB Group 1 starting with 34 (cont'd)
  • G134d 2.2MB Group 1 starting with 34 (cont'd)
  • G2x 3.1MB Group 2 starting with x
  • G3x 0.6MB Group 3 starting with x
  • G4x 0.1MB Group 4 starting with x
  • G234 1.0MB Group 2 starting with 34
  • LTE4 1.7MB Less than 5 65s at backstroke
  • ZERO 0.3MB No 65s at backstroke

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