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MatPlus.Net Forum General Letters (Jurmala made me do it :-)
 
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(1) Posted by Hauke Reddmann [Tuesday, Jun 4, 2024 10:59]

Letters (Jurmala made me do it :-)


I daresay for any letter problem you need at least two black moves.
(Otherwise you maximally have the theme of "changed mate".)
Let's also assume that a set, a try and a real phase exists.
(Everything less would be a subset of the following.)

We thus have maximally six possible mating moves UVWXYZ to fill in,
plus - for not relevant and ! if A/B defends.

AB
SUV
TWX
RYZ

I have not computed how many letter themes this will make,
are you sure you already showed each and every of them?
Even only the interesting and the "non-split"? :-)
 
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(2) Posted by Joost de Heer [Tuesday, Jun 4, 2024 12:44]

 QUOTE 

I daresay for any letter problem you need at least two black moves.

Not really: Key, threat, one variation.
 
 
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(3) Posted by Hauke Reddmann [Tuesday, Jun 4, 2024 17:22]

So what do you intend to show with only one black move?
Regardless how you permute -!UVW, I don't see anything
else than a changed mate - what do I overlook?
(Unless, of course, you count the threat to the letters,
indeed then there already are 9 entries, 6w, 3b.)
 
 
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(4) Posted by seetharaman kalyan [Wednesday, Jun 5, 2024 19:15]

Letter H# problems. Is it ok to have one solution?
 
 
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(5) Posted by Joost de Heer [Thursday, Jun 6, 2024 09:17]

 QUOTE 

So what do you intend to show with only one black move?

Djurasevic cycle, Ceriani Cycle (and a Reeves cycle doesn't even require a black move, it's a cycle between key and threat).
 
   
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(6) Posted by Hauke Reddmann [Thursday, Jun 6, 2024 09:59]

Guess I have to buy "Cyclone" somewhen after all :-)
 
   
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(7) Posted by Juraj Lörinc [Thursday, Jun 6, 2024 21:34]

It is not only about Cyclone.

Juraj Brabec has included in his recent book "Za vsetkym hladaj motiv" the analysis of various non-isomorphic types of Z-xy-zt types. There is just one change of type Z-32-26 (change of 2 mates in three phases), but there are e.g. 26 non-isomorphic changes of type Z-32-44, one of them with phase variations aAbB-aCcB-aDdC, other like aAbB-aBbA-cCdD (with clean radical change in one phase).

In spite of extended formalism (allowing classification of change themes) he underlines throughout the book the following: formal themes can be interesting, but the key interest lies in the underlying motivation.
 
 
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MatPlus.Net Forum General Letters (Jurmala made me do it :-)