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I came up with that while trying to think of something else, which might
be called 'Bent Rider Chess'. This would be played on a 11-by-10 board.
Each player would have five different bent rider pieces (two of each)
selected as in Betza's
<a href="../diffmove.dir/augmented.html">Augmented Chess</a>.
<p>
Each piece would have a move consisting of a step or leap followed by a
(optionally) by a rider move. A player would choose from (where X>Y
means moves X, then can move Y):
<pre>
F>R A>R D>R N>R
W>B A>B D>B N>B
F>NN W>NN A>NN D>NN
F>DD W>DD A>DD N>DD
F>AA W>AA D>AA N>AA
</pre>
in such a way that neither the first move component nor the second is
duplicated. That is if you have F>R you cannot have F>NN or A>R.
<p>
Any thoughts?