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3D Chess, a Different Way of Looking at It. A scheme for a geometric translation of 2d piece moves into 3d.[All Comments] [Add Comment or Rating]
David Howe wrote on Wed, May 1, 2002 09:02 PM UTC:Good ★★★★This is an interesting idea. Here's a logical extension of it:
<p>In 2d chess (thinking in the abstract), pieces are 0 dimensional (ie. points) that move in a line (1 dimensional movement).
<p>Perhaps in 3d chess, pieces could be 1 dimensional (ie. line segments) that move (as suggested) in a 2 dimensional plane. Their direction of movement would be constant, it would simply be their area of movement that would cover a two dimensions.
<p>In the diagram below, the 3d Rook piece at [a1,d1] could move to [a2,d2] or [a3,d3]. It would be blocked by the 3d Bishop piece at [c4,d4]. It could, however move to [a1,d1] on the next level up, assuming no friendly pieces are blocking it. However for the 3d Rook to move to the other half of the board (ie. files e-h) it might have to rotate. Or then again, perhaps in that direction it only covers a single rank instead of a plane.
<pre>
+---+---+---+---+
| | | | | 6
+---+---+---+---+
| | | | | 5
+---+---+---+---+
| | |---B---| 4
+---+---+---+---+
| | | | | 3
+---+---+---+---+
| | | | | 2
+---+---+---+---+
|-------R-------| 1
+---+---+---+---+
a b c d
</pre>