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Bob Greenwade wrote on Fri, Dec 15, 2023 12:17 AM UTC in reply to Fergus Duniho from Thu Dec 14 11:53 PM:

Good points, all that.

I'll leave the parallel-cube illustration there, but also add at least one designation-free version, and bring back some of the Schlegel diagrams (the cube-within-cube illustrations) for comparison, including the series of breakouts that I had, and the 2D layout as well as an updated 3D playspace. (I could also stack the "spread" diagrams into a sort of limited or modified Dali cross.)

As for the rank/file designations, that is admittedly something that I'm still figuring out. We're all used to the equivalent of {0,0} at White's left elbow, and I'm inclined to work things out the same way, but beyond that I'm not sure. The only way to be truly absolute about that would be to designate the White King's position as 0 and work out from there, with a special diagram for 01 and another for 06, 10, and 60, but I'd still be unsure about (as you say) what to do with 23, 24, 35, and 45. I'll sit down with it presently to work that out (probably parallel with the new diagrams).

I did already have in mind a solution to your last question: in all such cases, the lowest number takes precedence. In your example, 23 would continue from 02 rather than 03. (Explaining that is going to be a breeze, though, compared to making an illustration of it.)


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