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What notation should be used for turning the shields? There is some precedent here, but I wonder if the inventor has something else in mind.
The knight rule is a little weird. But using the 16 main+hippogonal directions would be terrible. Using the lame Mao+Moa could work: the piece could be blocked along one path and shield-blocked from capturing along the other; but that's rather more complicated than just "knights ignore shields", and so detracts a bit from the simplicity of the variant as-is. Choosing one path (orth+diag) could work?
For computer graphics, I think H.G.'s flexible overlaying could work? We'd just need a shield graphic to rotate and put under/over the pieces.
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You could also use rotated versions of the conventional piece symbols, with the understanding that they cannot be attacked from what normally would be their bottom (or top). The Diagram Editor with Scalable Graphics can be used to produce such a set.