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Like this idea very much. Should be able to use this variant with students and with friends who refuse to play wild variants. This variant will illustrate the contrast between playing power and mating power. Well done Peter!
Here player upgrades one piece and one Pawn by own choice and then all the play is normal except for following sentence. The two-per-side substitutes situated in standard array can never check. Interesting are the upgrade possibilities. Knight becomes Squirrel. As Betza's Chess Different Armies forces are set up by Betza for rough equivalence, here in Illusionary player needs sense of which enhancement is best for own skill, in choosing the piece to expand. Pawn becomes (Pawn + Berolina), close but not identical to Sergeant of 1940's Wolf Chess. Neither radical nor pretentious change for OrthoChess fans, like the teacher's Comment suggests.
What did you mean, when you told that illusionary piece cannot attack king? Does it mean that it somewhat don't capture opponent's king (as Korean cannon cannot capture another Korean cannon), and thus, if it checks, it can't do anything with king? Or it mean that it cannot move in position, where it will check king at all?
Illusionary pieces do not offer check to Kings -- they can move into positions that would normally be checking the opposing King, but it has no effect on that King.
A subvariant with hidden information: Make it secret which piece are illusionary, and then win by capture the king instead of checkmate. If a illusionary piece uses extra kind of move, then your opponent will know it is illusionary piece, too.
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