#1 · Mason Mackaman
14 Oct 2023
Public forum discussion.
14 Oct 2023
19 Oct 2023
I think doing the "Tom's move" multiple times generalizes to connect a single stone at any row, given sufficient space. Or am I wrong? The above seems to just do "the move" twice when needed. Would be an interesting abstract exercise to find how much space is needed for any given row, but the technique is very easy.
19 Oct 2023
It's even unknown, if for every row a single stone is connected.
20 Oct 2023
Indeed it's even likely that it's not connected if we talk about an infinite board with just 1 side. I'm a hex practitioner not a theoretician and my brain was limited to include the presence of an opposite side :)
1 Nov 2023
This template has been used to show the existence of a 7th row single stone template. It's currently being worked on, with progress updates in the hex discord. At the moment, the smallest it has been proven has a size 21 carrier, and it seems likely it won't go any smaller.
5 Nov 2023
It has been whittled down to size 17!
5 Nov 2023
So it'll be relevant on 19x19? Wow, great stuff!