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<p>A fair bit of this was discussed in 2004. (You have to dig a
bit):</p>
<a class="moz-txt-link-freetext" href="https://lists.ringingworld.co.uk/pipermail/ringing-theory/2004-September/012732.html">https://lists.ringingworld.co.uk/pipermail/ringing-theory/2004-September/012732.html</a><br>
<p><a class="moz-txt-link-freetext" href="https://lists.ringingworld.co.uk/pipermail/ringing-theory/2004-September/019463.html">https://lists.ringingworld.co.uk/pipermail/ringing-theory/2004-September/019463.html</a></p>
<p><a class="moz-txt-link-freetext" href="https://lists.ringingworld.co.uk/pipermail/ringing-theory/2004-September/019473.html">https://lists.ringingworld.co.uk/pipermail/ringing-theory/2004-September/019473.html</a></p>
<p><a class="moz-txt-link-freetext" href="https://lists.ringingworld.co.uk/pipermail/ringing-theory/2004-September/019486.html">https://lists.ringingworld.co.uk/pipermail/ringing-theory/2004-September/019486.html</a><br>
</p>
<div class="moz-cite-prefix">On 29/08/2020 00:26, Richard Pullin
wrote:<br>
</div>
<blockquote type="cite"
cite="mid:CAEmEco9tU=w8cZ-n6zS-181OCdhwWaRNbLKJsiy56h8ntwX9AQ@mail.gmail.com">
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<div dir="ltr">This is really interesting and useful, thanks for
sharing.
<div><br>
</div>
<div>As the alternating group on 5 is isomorphic to Hudson's
group, it would be interesting to see which of these blocks
can be turned into Hudson type components for Minor methods
and principles. For example, the Doubles six: 3.1.3.1.3.1 can
be replaced by 34.1.34.1.34.1 in Minor, which is a very
easy-to-see demonstration of the (123) cycles being replaced
by (123)(456) cycles. I'm sure the idea of using A_5 in this
way will have occurred to others, but they may have been put
off by the tendency of 3/4-blow places in the resulting Minor
methods.</div>
<div><br>
</div>
<div>If you arbitrarily try this on a bobbed lead of Grandsire
Doubles, one result is: 34.1.5.1.34.1,2 (which perhaps closer
resembles Double Grandsire Doubles with bobs at the half lead
and lead end.) The method's plain course is Hudson's group, so
the trick has worked. As the half lead rows are the same as in
Cambridge S and Oxford TB, you can get a number of variants by
replacing the half lead with 5 and/or the lead head with 1. I
was then reminded that one of these variants had already been
devised a few months ago by the mathematician Robert A Wilson
(though his method has the tenor as hunt bell, so I rotated
it.)</div>
<div><br>
</div>
<div>We can go a step further and turn this into a challenging
Principle with 360 changes in the plain course, though some
might prefer to think of it as a variable-treble touch of the
Plain method: </div>
<div><span
style="background-color:rgb(245,245,245);color:rgb(51,51,51);font-family:"Open
Sans","Helvetica
Neue",Helvetica,Arial,sans-serif;font-size:12px;white-space:nowrap"><a
href="https://complib.org/method/39339?accessKey=b9d3f9ca822c8bd08bdc2248ec151b4e5c89b0"
moz-do-not-send="true">https://complib.org/method/39339?accessKey=b9d3f9ca822c8bd08bdc2248ec151b4e5c89b0</a></span> For
a 720 you simply use two singles a course apart:</div>
<div><span
style="background-color:rgb(245,245,245);color:rgb(51,51,51);font-family:"Open
Sans","Helvetica
Neue",Helvetica,Arial,sans-serif;font-size:12px;white-space:nowrap"><a
href="https://complib.org/composition/70150?accessKey=4222c763a30983fab67f274873ab5552ffe14201"
moz-do-not-send="true">https://complib.org/composition/70150?accessKey=4222c763a30983fab67f274873ab5552ffe14201</a></span></div>
<div><br>
</div>
<div>I love how this extent is analogous to a 2-single 120 of
Stedman Doubles, which brings us right back to the original
topic of A_5.<br>
</div>
<div><br>
</div>
<div>So what else can be done with the Doubles blocks? </div>
</div>
<br>
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</pre>
</blockquote>
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