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The Diagram Designer is limited to 2D graphics, and it uses a 2D coordinate system. To represent a 4D game, you have to figure out how to represent it within those limitations. A 3D or 4D board would be composed of separate 2D boards, and you could use hyphens to remove spaces to separate different 2D boards from each other. Here's <A HREF="http://play.chessvariants.com/pbm/diagram-designer.php?submit=Update&code=rnbqkbnr-8%2Fpppppppp-8%2F8-8%2F8-8%2F8-8%2F8-8%2FPPPPPPPP-8%2FRNBQKBNR-8%2F-----------------%2Frnbqkbnr-8%2Fpppppppp-8%2F8-8%2F8-8%2F8-8%2F8-8%2FPPPPPPPP-8%2FRNBQKBNR-8%2F&shape=square&scale=40&group=Chess&set=abstract1&files=1a+1b+1c+1d+1e+1f+1g+1h++2a+2b+2c+2d+2e+2f+2g+2h&ranks=1A+2A+3A+4A+5A+6A+7A+8A++1B+2B+3B+4B+5B+6B+7B+8B&font=Verdana&point=12&cols=17&board=10.01.&colors=339933+CCCC11+22BB22&bcolor=111199&tcolor=EEEE22&bsize=16&bgimage=maple-walnut.png&nextfile=50+0&nextrank=0+50">an example</A> of how a 4D game could be done. A piece can move up or down by moving to a space on a board above or below it, and it can travel through the 4th dimension by moving to a board on the left or right. The tricky part is coming up with a 4D coordinate system. Since it has to be done with a 2D coordinate system, each of the first two dimensions has to be paired with one of the latter two. So you can't simply write coordinates in the order of first dimension, second dimension, third dimension, fourth dimension. I did it in the order of fourth dimension, files, ranks, third dimension. However I did it, I wanted to keep files and ranks together in the usual order. So they appear in the middle. The fourth dimension is paired with files, because both are spaced to the left and right of each other, and I paired the third dimension with ranks, because both are spaced above and below each other. Although I could use capital letters and lowercase letters for different dimensions, there wasn't another number system to use in place of Arabic numerals. So I had to use Arabic numerals twice, and I didn't want the two coordinates using Arabic numerals to touch. So I used Arabic numerals for the fourth dimension, which is on the left next to files, and I used capital letters for the third dimension, which is on the right next to ranks.