Belated thanks, Jim, for the reply.
Because of having ecountered the idea of a two-dimensionsl "flatworld", which attempted to approach the problem of the occupants of a universe being unable to grasp the existence of a dimension which they do not (cannot) themselves inhabit (measurements rendered impossible too, presumably), I had difficulty in understanding your one (latitude *and* longitude???) but words are just too cumbersome and a pen and paper would help.
Incidentally, the one I'm referring to contains a cheat, in which the cartoon-character-like inhabitants of flatworld are permitted to be one atom thick, which prevents them passing through other inhabitants or physical obstacles but violates the 3rd dimension.
In this scenario, there is latitude (around the circular planet) and up(infinite)/down(to ground level) so maybe they can clamber over people/objects they bump into but they cannot peer out of their flat plane, to see a 3-D observer, who sees them sideways-on.
My personal conceptual limit is that I am unable to envisage how the next dimension can satisfy the condition of being mutually perpendicular to all three of the conventional dimensions, simultaneously.
The best I can manage is that, if X,Y,Z are lines then, by comparison, the next one is a sphere and the intercepts are perpendicular, if nothing else. Is that even an applicable rule, I wonder?