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@ Bob Greenwade[All Comments] [Add Comment or Rating]
Bob Greenwade wrote on Wed, Nov 29, 2023 05:54 PM UTC:

134. Tesseract. This is an unusual piece, for which I have three different takes, all based on a classic drawing of a tesseract. The principal goal is that the piece can reach any square along a two- or four-space radius, including sliding up to four spaces diagonally.

The simplest one, from an XBetza standpoint, has the Tesseract leaping to any of the spaces (other than diagonally) on the first ring, then making a second leap to the second, or leaping directly to the second for those spaces that can't be reached with a double leap. (B4N2D2NYFX)

An alternate way of doing this is to skip the double-leaps, and let the Tesseract leap directly to the fourth circle. (B4DNWXFXDYNY)

To be really true to the concept, the Tesseract would be able to reach any space along the path by sliding along the lines, with as many turns as necessary. I don't think that can be properly coded in XBetza. (I even tried, without success, to come up with a simplified version that would involve only one turn at the corners; if I manage to make it work, I'll replace this sentence.)

There probably are other things that a Tesseract could do, especially in a 3D (or 4D) game.

It's really incredibly difficult get a cubical form to stand neatly on its corner, in either Tinkercad or real life!