﻿﻿ MatPlus.Net

Website founded by
Milan Velimirović
in 2006

12:29 UTC
 ISC 2023

Remember me

 CHESS SOLVINGTournamentsRating lists1-Apr-2023
 B P C F

MatPlus.Net Forum General Maximizing Promotion Combinations In The Directmate

### Maximizing Promotion Combinations In The Directmate

An idea I had some time ago; in a direcmate, if the best option for both sides is promoting to a certain piece, to what extent can you maximize it for each possible combination?
Here is my research, and may they be improved. More economical forms are also welcome. All diagrams are my compositions.

Q+q: 4+7, http://superproblem.ru/archive/probl/N/Malcom-19x-2020-1.gif

Q+r: 1+1, #5
(= 7+6 )

Q+b: 1+3, http://superproblem.ru/archive/probl/N/Popov-7x-08.gif

Q+n: 1+7, http://superproblem.ru/archive/probl/N/Popov-11x-2014.gif

R+q: 1+5, #14
(= 10+11 )

R+b: 1+1, #4
(= 7+9 )

R+n: 1+3, #5
(= 10+9 )

B+q: 1+1, #13
(= 11+12 )

B+r: 1+1, #4
(= 10+12 )

B+b: 1+2, #5
http://superproblem.ru/archive/probl/N/Johandl-05-1963.gif

B+n: 1+3, #4
(= 9+9 )

N+q: 2+7, #19
(= 11+14 )

N+r: 1+1, #4
(= 9+9 )

N+b: 2+1, #7
(= 9+11 )

N+n: 3+5: http://superproblem.ru/archive/probl/N/Malcom-10x-2020.gif
2+6: http://superproblem.ru/archive/probl/N/Malcom-10x-2022.gif

Diagram "B+r: 1+1, #4" - looks strange,
is 1.Kxf1 bxa1R 2.h8B intended?
Also, R+n should be 1+3?

Thanks for spotting that, Hauke, R+n count corrected.
And "1.Kxf1 bxa1R 2.h8B" is indeed the solution for B+r.

Well. The eightfold white promotions by Cheron and others are correct as moremovers also, if you allow dualistic sidevariations.

(5) Posted by Hauke Reddmann [Sunday, Jan 15, 2023 00:08]

Bloody five hours for 2N+r - I'm getting old :-)
Feel free to improve, I couldn't get the capture balance to
work without a pair of like bishops:

(= 12+8 )

1.e7? bxc1Q! 2.e8S Qf4, thus a Holst Vorplan:
1.f8S! bxa1R (otherwise Nd7) 2.Ng6 hxg6 3.e7 4.e8S

Surely the main matrix can be recycled.