[r-t] Method symmetry
Alexander Holroyd
holroyd at math.ubc.ca
Thu Aug 23 19:25:57 UTC 2012
On Thu, 23 Aug 2012, Graham John wrote:
> Am I missing something?
I don't think so (unless it is exactly which questions people have been
answering).
> Ander's example has rotational symmetry and has 8 hunt bells (note: not
> a method according to CC decisions as it is not divisible into leads).
> 3478.1478.1258.1256.1456.3458
Quite correct. This was to simply to show that it's possible to have
all bells "symmetric about a point" while maintaining truth.
> Mark's first example has palindromic symmetry:
> -1-5.4.5 = 12647583
>
> Mark's second example however, is asymmetric, so does meet the criteria:
> -1.2.25.4.5 = 12647583
Yes, he said so in the two messages.
> I wonder though whether Ander's stated problem sufficiently constrained.
It has many possible variations. There are quite a few types of symmetry
(see Martin Bright's article). Any examples in which all the lines have
more symmetries than the method seem potentially of interest.
> For example if you put Cambridge Minor on top of Cambridge Minor (but
> offset by say two changes), you create a Differential Maximus method
> that fulfills the criteria, but I doubt that this is in the spirit of
> the challenge.
My original message contained exactly this example (but using plain bob
minimus), and I asked for more interesting examples (deliberately left
undefined, but I think it's clear that the Cambridge version does not
qualify).
I think Mark's second example certainly qualifies as an answer to the
original challenge.
Perhaps the next question should be: is there one that people might
reasonably want to ring?
Perhaps the problem should be constrained to a single
> hunt method, or principle?
Also an interesting question.
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