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'Note that there are not only cells, where it can't move, but also cells,
where it will be able to make only one leap further. And these are the
whole second hyperrank.'
	You appear to have omitted the adjective qualifying each instance of 'cells', resulting in two mutually incompatible definitions of cell, both of them subsets of the usual meaning. This is a pity, because a specialist term in particular for a cell from which a piece has no further move would be very useful in whatever number of dimensions, and I would happily make use of such a term. Were you waiting to put the adjectives in until you had devised them, have you now devised them, and if so what are they?