[Retros] Distance-PG = Fastest "n"

[Eric Angelini]

The herunder game ending in checkmate
has the same length 4(1+SQR2) as
the "Black version" seen before:
1. e2 -- g5
2. Be2 -- f6
3. Bh5++
But this checkmate is not as fast as
the Black's one. So what do "fast"
and "fastest" mean? Well, this deals
obviously with the quantity of moves.
If this type of problem has no name,
it could be baptised "Fastest n" --
"n" being a quantity in square-side
units.
At least this type of problem doesn't
need any diagram -- what a relief for
printed magazines !-))


Le 28 août 2016 à 17:08, Eric Angelini <Eric.Angelini at kntv.be<mailto:Eric.Angelini at kntv.be>> a écrit :

For instance, the fastest Distance-PG
of total length 4(1+SQR2) ending in checkmate comes of course after the
well known:
1.f3 -- e6
2.g4 -- Qh4++
... but as the White moves can be
exchanged, this is not a unique
solution.
à+
É.
Catapulté de mon aPhone


Le 28 août 2016 à 16:20, Eric Angelini <Eric.Angelini at kntv.be<mailto:Eric.Angelini at kntv.be>> a écrit :

Yes Roberto,
a sound proof game of this (total) length,
and, in my dreams, the shortest one,
hopefully unique, I have in mind.

More generally, one can assign for
any past, present and future a single
such number, if I'm not wrong.
It would be nice to have unique
numbers "n" for precise tasks like:
-find the SPG of total length "n" ending in a checkmate;
-find the SPG of total length "n"
with a casling;
-find the SPG of total length "n"
with an en passant capture, etc.
BTW, what would be the geometrical
length of an e.p. capture?
But this is old hat, I'm sure, no?
à+
É.
Catapulté de mon aPhone


Le 28 août 2016 à 13:53, roberto osorio <osorio.arg at gmail.com<mailto:osorio.arg at gmail.com>> a écrit :

Hi Eric,

with SQR5 you surely mean a knight move, so the PG has to include 6 knight moves plus  straight displacements total 20 long.

Many unsound sequences  fit whit these requirements. When you say "Find a PG", do you mean "a sound PG"?

best,
Roberto Osorio




2016-08-27 10:17 GMT-03:00 Eric Angelini <Eric.Angelini at kntv.be<mailto:Eric.Angelini at kntv.be>>:

Hello Retro-fans,
This is for sure old hat, but do you know
a nicer example than my attempt
to produce an unique solution?

"Find a PG ending in checkmate where the pieces have  browsed
the distance of 20 + 6SQR5 units"

(read "twenty plus six times the
square roots of five" - the unit being
the side of a square, of course)
Best,
É.


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