[r-t] Bobs-only Stedman Triples - 75 complete B-block peals

Andrew Johnson andrew_johnson at uk.ibm.com
Thu Mar 17 07:20:22 GMT 2022

```75 complete B-block peals

A collection with the peals published so far is here: https://complib.org/collection/11309

With all the sets of blocks I have given I have tried to avoid duplicates by arranging them in a canonical form.
For each block, if it is a round block, choose a rotation to give a start which is a quick six. Choose a rotation with the longest runs of bobs first (lexical comparison, '-' before 'P'). If the block is multi-part (so two rotations can be the same), choose a start with biggest start when the row is reversed (so 2134567 is before 2136745). When there are multiple blocks, rearrange the order of the blocks so the longest block is first, then if equal do by starting six as above. Now consider renumbering the blocks so that the first block is 2134567QS and sort as above. Also try renumbering so another block of the same length is 2134567QS. Also check for reversals by taking each starting six, finding the six-head, then swap 1&2 to keep it in course, and reverse the block, then do all the above. See if it is before the best non-reversed version.

I have not given peals for some of the blocks as I did not want to clutter up CompLib with similar peals, but I can add them if anyone is interested.

71 round blocks

Signature: 19:6+33
These all rearrange the contents of 19 B-blocks into 6 round blocks, giving 71 round blocks.

2314567QS---------P--------P---------P-------P--P--------P---------PP*1(1)
2657431QS---------P---PP--------PP-P--P*1(1)
4173562QS--------P--P--P---------P--PP-*1(1)
5176432QS--------P--P--P---------P--PP-*1(1)
4537162QS---------P------P--P*1(1)
5467132QS---------P------P--P*1(1)

peal

2314567QS---------P--------P---------P-------P--P--------P---------PP*1(1)
2657431QS---------P---PP--------PP-P--P*1(1)
6217435QS---------P--P--P---------PP--P*1(1)
2574361QS--------P--P--P---------P--PP-*1(1)
6471235QS--------P--P------P-*1(1)
2475631QS--------P--P------P-*1(1)

no peal

2314567QS---------P--------P--P-------P---------P-P---------P-------P*1(1)
6527143QS---------PP---------P--P--P--P*1(1)
5623471QS---------PP---------P--P--P--P*1(1)
6172543QS--------P--PP-P-------P-P---P-*1(1)
6521734QS---------P------P--P*1(1)
3245617QS--------P--P------P-*1(1)

peal

2314567QS---------P--------P--P-------P---------P-P---------P-------P*1(1)
7621534QS---------P--P---------P--PP--P*1(1)
4653271QS---------P--P---------P--PP--P*1(1)
6172543QS--------P--PP-P-------P-P---P-*1(1)
6527143QS---------P------P--P*1(1)
4235671QS--------P--P------P-*1(1)

https://complib.org/composition/89469 582 bobs

2314567QS---------P--------P--P-------P---------P-P---------P-------P*1(1)
7621534QS---------P--P---------P--PP--P*1(1)
4653271QS---------P--P---------P--PP--P*1(1)
6172543QS--------P--PP-P-------P-P---P-*1(1)
6527143QS---------P------P--P*1(1)
4235671QS--------P--P------P-*1(1)

peal

2314567QS---------P---P------P--------P---------PP---------P--------P*1(1)
5634712QS---------P--P--P---------PP--P*1(1)
2354617QS---------PPP--------PP----P--P*1(1)
5743612QS--------P--P--P---------P--PP-*1(1)
3214657QS---------P------P--P*1(1)
3146752QS--------P--P------P-*1(1)

https://complib.org/composition/93488 555 bobs

2314567QS---------P---P------P--------P---------PP---------P--------P*1(1)
7543621QS--------P--PP---------PPP--------PPP--P-*1(1)
2374651QS---------P--P--P---------PP--P*1(1)
3214657QS---------P------P--P*1(1)
3564127QS---------P------P--P*1(1)
2647351QS--------P--P------P-*1(1)

peal

2314567QS---------P---PP---------P--P--P--------P---------PP---------P--------P*1(1)
6745123QS--------P--P--P---------PPP--------PPPP-*1(1)
3214657QS---------P------P--P*1(1)
3564127QS---------P------P--P*1(1)
1624753QS---------P------P--P*1(1)
6154723QS---------P------P--P*1(1)

https://complib.org/composition/82309 591 bobs

2314567QS---------P--P---------P------P---------P--P---------P------P*1(1)
6357142QS---------P-----P------P--PP--P*1(1)
7356124QS---------P--P---------P--PP--P*1(1)
4523671QS--------P--PPP--------PP----P-*1(1)
4563217QS--------P--P------P-*1(1)
4517326QS--------P--P------P-*1(1)

no peal

2314567QS---------P--P---------P------P---------P--P---------P------P*1(1)
7356124QS---------P-----P------P--PP--P*1(1)
6357142QS---------P--P---------P--PP--P*1(1)
2543761QS--------P--PPP--------PP----P-*1(1)
2516347QS--------P--P------P-*1(1)
2573416QS--------P--P------P-*1(1)

no peal

To be continued.

Andrew Johnson

```