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Kevin Pacey wrote on Thu, Feb 23, 2017 02:53 AM UTC:

The simple checkering pattern I used for the 3 colours was 201.012.120. using the default colours for the Diagram Designer. If you wish to experiment, you can click on 'Edit' for a Preset someone made (e.g. for playing Glinski's Hexagonal Chess) and look at the checkering pattern numbering scheme that they used, if nothing else. Note that sometimes, if your desired checkering pattern for a board diagram is in any way not so regular, it seems you are forced to give a checkering pattern colour number for each and every individual square (or cell) of your entire diagram, i.e. you'll need to give a large checkering pattern for that diagram, which goes rank by rank, for all ranks on your diagram. I reached this conclusion on my own, but later on seeing how other people (even CVP editors) used patterns to checker, say, large 4D diagrams with square cells, confirmed my conclusion. Unless you enjoy doing so as a labour of love, it may be best to avoid being unnecessarily ambitious with one's checkering pattern.

The (final) 4D (4 dimensional) diagram would be made partly by 'cutting out' hexes from the diagram, by using the FEN code of the Diagram Designer properly (it would take some calculating and time to type it all in; use a - for a blank, as a way to cut out a cell, rather than showing a cell on the board). The 4D diagram I had in mind would be 37 two dimensional boards with hexagonal cells, the 2D boards each hex-shaped themselves (4 hexes to each of six sides, with a peak width of 7 hexes). The 4D board's 37 2D boards would in turn be arranged in a hex-shaped way, with 4 2D boards to each of six sides, with a peak width of 7 hexes. That also gives the 4D diagram Rows and Columns (besides the ranks and files of the 2D boards). Assuming I wanted to at some point go even this far with such work, I'd finish the task by entering a much more complex checkering pattern (time consuming), then change the FEN code more by in effect adding any pieces I wanted onto the board's diagram at the appropriate 4D board cell positions (not so time consuming, perhaps).

To get a yet clearer idea of a 4D hexagonal diagram, you might once again check my much earlier 4D diagram that had 19 two dimensional hex-shaped boards with hexagonal cells. For that diagram I used more colours, more pieces and more complex checkering. You can click on "all messages" for this Diagram Testing Thread to save some time in digging back.


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