Which preposition to use with dimensional

for Occurrences 1%

Time, as the individual experiences it, is called one-dimensional for an analogous reason: one number is all that is required to determine and mark out any particular event of a series from all the rest.

in Occurrences 1%

Might it not be perceived as a representation, merely, of a supernal world, higher-dimensional in relation to our own?

with Occurrences 1%

Hinton conceives of the soul as higher-dimensional with relation to the body, but so concerned with the management and direction of its lower-dimensional vehicle as to have lost, for the time being, its orientation, thinking and moving only in those ways of which the body is capable.

Which preposition to use with  dimensional