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Please note, the following was fixed:
I've now realized after working on an animation graphic that there are several issues with the dice in the picture.
Firstly, the King (blank die) should be placed on the right-hand side of the queen, which is flipped in the current image, though I've uploaded a new version I believe the old version is cached. It's very confusing because White appears at the "top" of a chess board, whereas the board placement is correct, to be fully correct white should be "away" from the black (in the far field), not near the camera as it appears currently.
Secondly, the Knight image is upside down on all of the dice. Also, it transitions to a Rook, when it actually should be transitioning to a Bishop, then a Rook, in order of point value, such that moving two spaces as a default move for a pawn should transition to a Bishop.
Also it is interesting to note that one would probably have a tendency to rotate a piece such that its base is at the bottom (facing the player) as mentioned in the rules, which changes the way the dice perform. This is true of the General (King) and Queen faces. For this reason, a special version of the dice face should be made where there are four queens or kings so that no one would do this (a base on each side, or four images in a cardinal "plus") ... I will show this design in the improvement.
I will revise the dice in the picture and upload it when available.
Interesting! This will be somewhat unusual in the "Dice" category for not also being non-deterministic.
I wonder about the enforcement of orientation after the move. It enforces that a piece moving from one square in a particular direction will always turn into the same piece (OK, knight choice aside); is that convenience worth the additional rule? Maybe.
I doubt the setup diagram would be helpful, since the tops of the dice will just be the standard layout. But a few movement examples would be nice.
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The author, Herb Gilliland, has updated this page.