[r-t] Scientific triples

Philip Earis pje24 at cantab.net
Mon Jan 5 23:44:56 UTC 2009

Yesterday I had the pleasure of ringing some scientific triples for the 
first time (http://www.campanophile.co.uk/show.aspx?Code=76703)

Scientific is a well-known but rarely rung asymmetric principle with 30 rows 
per division:

As Brian Price explains in his interesting paper published on the webpage 
www.ringing.info/bdp/triples-principles.html, Scientific "...makes use of a 
group of order 168, which is well-known to mathematicians and may be used to 
marshall the 5,040 Triples rows into 30 sets of 168. A principle such as 
Scientific must have a 7-part plain course of 7 x 30 rows, each section of 
30 containing one from each set. The 7-part course makes use of the fact 
that the group contains 7-part transpositions; there will be 24 mutually 
true courses".

I vaguely recall Eddie Martin once saying he had composed a similar 
companion method he intended to call "artistic" triples or something 
similar.  Is this correct?  What is the notation?

Brian goes on to list the 229 principles that make use of this group with 
7-lead courses and which have conventional symmetry. 6 of these additionally 
have double symmetry, whilst 23 of these are "pure triples".

I'm interested in how this concept can be taken further.  Can some of these 
methods be spliced together to create a clever and challenging extent? How 
about splicing scientific with it's reverse or something similar?  What's 
possible here? 

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