You described 3 dimensions of space with 1 dimension of time. The idea is to describe 4 dimensions of space without using time, or even saying the word time.
The way I see it, in our current paradigm you can remain stationary in the x, y, or z axes while moving on any of the others. The trick in describing the fourth dimension is to remain stationary in the x, y, AND z axes while moving in yet another axis. To me, that means that the axes themselves are moving through yet another space, so in reality, by positing anything outside of the three dimensions with which we're familiar, we're necessarily positing yet another three within which our space moves, and so on, without touching time.
MAN IN BLACK:You've made your decision then?
VIZZINI : Not remotely. Because iocane comes from Australia, as everyone knows. And Australia is entirely peopled with criminals. And criminals are used to having people not trust them, as you are not trusted by me. So I can clearly not choose the wine in front of you.
MAN IN BLACK:Truly, you have a dizzying intellect.
Okay. That is probably the correct format. What I would suggest then, is a single cube with a forward and reverse. While forward and reverse would describe what I'm trying to say, it would probably be best to use the term jump forward or jump back.
Movement of being from one dimension to another may only be done absent restraints of time, thus absent physical matter. It's a realm, a condition of being many call the "spiritual world". This state is referred to in this verse of scripture: "That which hath been is now; and that which is to be hath already been; and God requireth that which is past."