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Daniil: I'm not certain, but I don't believe there's a nice tiling of 3-space which is hexagonal in all (reasonable) directions. Maybe you can manage it, but only by thinking of the cells as points to occupy rather than regular, spacial objects.
Board in shape of hex-prisms is, of course, intersting, but are there any chess variants, wich have board, wich is hexagonal in all 3 planes? But i don't think that someone will ever play such variant...
Oh, yes! Now i understood it! Thanks!
Are the gaps between files showing up properly? Each gap represents a change of level, so there's a 1-file level, then 2-file, et cetera. Each file is above the border between two files on the next level. Thus each of the 8 ranks is effectively a 15-cell hex board. Anyone posting my update to this?
Diagramms shows square/cube board.
Having found out about the use of the name Pasha I have been considering names that might be used for similar pieces in different mixtures of radial directions. Names that come to mind of which I am unaware of any current use include Effendi, Emir, Mogul, Sheikh, and Sultan (I have used Sultan's pieces here but not a Sultan itself). The possibility of a Sheikh makes updating the Honeycomb Chess page, which still mentions a usage that I have abandoned, all the more urgent. I am sending another update of this page reflecting further changes to the Man and Beast series, and would be grateful if an editor could look for and post the update.
Not ready for prime time with my comment on hex prism within 'M&Bxx', Gilman's fourth geometry, and its different orientations, diagonals ND etc., let's just look at Honeycomb Chess on which it is based. Hex prism is pioneered as 3-D stack of hex boards.
Could someone confirm whether my update sent on 10th Feb 2009 has been received? This page as written at the time of this comment is seriously out of keeping with other pages of mine.
I agree - it certainly looks very interesting. I must admit though that it took me some time to understand the bishop moves. I finally resorted to recasting the board using hexes (see here) before realizing that the bishops were moving through the edges of the prisms.
I have to say that this is a very interesting variant, and I would definitely like to play a game.
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Any news on the update here?