[Retros] FW: FW: Distance-PG

Noam Elkies elkies at math.harvard.edu
Thu Sep 1 20:40:15 EDT 2016

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).


More information about the Retros mailing list