[r-t] Bobs only Stedman Triples

Alexander Holroyd holroyd at math.ubc.ca
Thu Jun 28 12:05:42 UTC 2012

Congratulations Andrew (and Philip and the band that rang it).  This is an 
amazing achievement!


On Fri, 22 Jun 2012, Philip Saddleton wrote:

> At about the same time as Andrew Johnson produced his famous bobs-only 
> l0-part, he discovered a way of splitting the rows into five identical 
> two-part blocks but could not join them without singles (Nigel Newton 
> independently discovered the same block). Andrew says that he pointed out at 
> the time that this block was very similar to the 10-part peal (containing 
> only two sixes per part that do not appear in the 10-part). I must have 
> missed this, or I am sure I would have looked into it further.
> Anyway, 17 years later Andrew has found that by mixing together the two 
> blocks more bobs-only peals can be found. The peal we rang this evening has 
> one additional linkage which is quite complex: adding a pair of bobs jumps 
> from one half of the peal to the other but introduces a false six. The 
> corresponding six is got by bobbing two elements of a Q-set and omitting a 
> bob. The attached sheet attempts to show how it all works:
> - corresponding sixes from different parts are on the same row
> - the sixes introduced by teh twin-bob linkage are highlighted in orange
> - the part q-sets are yellow
> - the omits are green
> - other linking q-sets of omits are yellow
> Using this and another twin bob linkage, Andrew now has 148 new compositions.
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