Oct 27
Trying some change ringing in class.
- How is this related to the puzzles and group theory that we've been discussion?
plain hunt
- How many bells should be used?
- Any variations? (Hint: What is "covering"?)
- How many different group operations?
- What does each ringer have to remember?
- How many changes until the sequence repeats?
Pass out the bells, and let's give it a try.
plain bob doubles
This one is probably beyond what we can manage in one day.
But let's at least take a look:
- 6 (the lowest bell) covers (i.e. stays at 6th place).
- 1 (the higest bell) does a plain hunt.
- 2, 3, 4, 5 all use the same patterns, but it different orders.
- they all do 4 named variations on plain hunt :
- 2nds (1 1 2 2 1 1)
- dodge 3-4 down (5 4 3 4 3 2)
- long 5ths (4 5 5 5 5 4)
- dodge 3-4 up (2 3 4 3 4 5)
And the "cycle of work" describes the order for these three pieces these pieces.
- How many changes in "a course" of plain bob doubles?
- What fraction of the permutations of 5 bells is this?
Finally, there is "a touch" : bells 2 and 3 sometimes
do just a plain hunt (that's the "bob") rather than
the variations.
Yes?
I haven't done this as a class exercise before,
so I guess we'll see how it goes ...
