So I am still amazed by the strangeness of what we call hyperspace. It is so weird and hard to understand that it has scared me to death several times. This only occurs with very high doses of vaporized DMT. However, where do the words "kaleidoscopic" and "hyperspace" come from when different people attempt to describe the scary end of the DMT experience spectrum?
I have put some research into the topic and this is what I have found out:

A HYPERCUBE
And the 4th and 5th dimensions:
http://www.youtube.com/watch?v=gg85IH3vghAIn this video a connection is made between the 5th dimension and probability space.
Having seen my hand watch pointers like that under a heavy dose of vaped DMT:

I deduce that this was the perception of the 5th dimension (probability space) that occurred to me. I saw the clock's pointers in all of their possible positions at once.
Normal breakthrough doses only take you to the 4th dimension which gives everything this weird look (things such as your own hands for example).
And here rises an idea: if with DMT we get to perceive the world by its higher dimensions and knowing how mathematically a 4-dimensional cube is projected into a 3D space - we can hypothesize that DMT does not open "a third eye" BUT INSTEAD DMT makes it possible to move by the 4th axis of the space. Consequently when changing our personal point of origin in this hyperdimensional space, 3-dimensional projections of higher dimensional objects morph into hard-to-grasp forms such as the hypercube I pointed out previously. In turn, this whole scene starts to feel like "kaleidoscopic" and because we can't make it stop at will, it may become relentless at higher doses.
An analogue can be imagined when one closes its one eye and by doing it loses the perception of depth. If that eye is opened again, the person starts to perceive the world as "more real". This explains the scary thought that has appeared to me and my friend several times during DMT trips: "
What if this is the real reality and in our everyday lives we perceive only a subset of it?"
Conclusion: DMT's weirdness is actually explainable by the fact that it allows us to perceive the space by its higher than 3 dimensions.