[Retros] FW: FW: Distance-PG
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).
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