[Retros] FW: FW: Distance-PG

[Noam Elkies]

Francois Labelle <flab at wismuth.com> wri:e:

> On 31/08/16 04:59 AM, Yoav Ben-Zvi wrote:
> > Verification must wait for a full search of all sound SPGs in 6.0.
>
> Actually, about 5 years ago I did a full search of all sound checkmate
> PGs up to 6.0 moves. Luckily I found my old files containing those PGs,
> so I'm able to give examples with maximum geometric length.
>
> Nicolas's 52.142136 = (38,10,0) in 5.5 moves is optimal, congrats!
>
> Here are the records from 4.0 to 6.0 moves: [...]

Very interesting.  What about *minimum* geometric length?  Here it may
be possible to prove that one has the absolute minimum (if it's small
enough that anything beyond the search bounds must be longer).

NDE