[r-t] doubles principle
Alexander Holroyd
holroyd at math.ubc.ca
Tue Jul 11 17:01:53 UTC 2006
Here is this week's challenge, folks: find a decent (or even passable)
extent of the doubles principle 5.1.3.5.1 (5 changes/lead). How difficult
can it be - it's only _doubles_? Nevertheless I haven't been able to do
it.
To demonstrate that it "ought" to be possible: it's easy to get 4 courses
giving 100. The remaining 20 changes are 2 courses of plain hunt, which
can indeed be split into 4 leads of the method (if you do your splitting
at the pn 3). Thus e.g. one has the following (which certainly doesn't
count as a passable extent of the method):
: 12345
part1[p[5 : 21435 1
1 : 24153 2
3 : 42135 3
5 : 24315 4
1] : 23451 5
p : 34512 10
p : 45123 15
p : 51234 20
b[5 : 15324 21
1 : 13542 22
3 : 31524 23
5 : 13254 24
125]] : 13524 25
part1 : 15432 50
part2[p : 54321 55
p : 43215 60
p : 32154 65
p : 21543 70
x[5 : 12453 71
1 : 14235 72
345 : 41235 73
5 : 14325 74
1] : 13452 75
y[5 : 31542 76
1 : 35124 77
5 : 53214 78
1 : 52341 79
5] : 25431 80
z[1 : 24513 81
5 : 42153 82
145 : 41253 83
5 : 14523 84
125]] : 14253 85
part2 : 12345 120 Rounds
Ander
More information about the ringing-theory
mailing list