http://www.youtube.com/watch?v=Otg35QI-Rak&feature=player_embedded
The 11th dimension where our membrane universe is floating.

The M-theory (M for membrane, or brane) is an extension of the string theory identified with the 11 dimensions. Dimensionality exceeds the dimensionality of the five superstring theories in other 10 dimensions, thus, it is considered that the 11th dimensional theory unifies all string theories and also supersedes them.

This idea is the unique supersymmetric theory in eleven dimensions. However, the M-theory is not yet complete but it can be applied in many situations such as string theoretic dualities. The possible supergravity theories (called SUGRA) were classified by Werner Nahm in the 1970s and it combines the principles of supersymmetry and general relativity.

According to the consensus, the 11 dimension are:

(4D space/Time)
1. Height
2. Width
3. Depth
4. Time

(5D)
5. Kaluza-Klein combination of relativity gravitation and electromagnetism.

(6D thru 10D)
... as for the remaining six dimensions, we can only say that modern cosmological theories talk about multi-dimensional "spaces" up to 11 and counting. Physicists are not in agreement as to the number of spatial dimensions. There are three observable spatial dimensions (plus time), however some Physicists who advocate String Theory think there might be between 10 or 11 up to 26 spatial dimensions.

Our universe may be very large in the three spatial dimensions we are familiar with, but thinner than a proton in the other 7 dimensions. So, as far as our senses are concerned, all those extra dimensions do not exist. No one has yet to firmly prove the existence of more than 4, but the mathematics used to describe the Universe and events such as the "Big Bang" need those extra dimensions to work.

http://www.youtube.com/watch?v=xE7xRgfPjAI&feature=player_embedded
The 11th Dimension explanatory animation.

http://upload.wikimedia.org/wikipedia/commons/thumb/d/d4/Calabi-Yau.png/600px-Calabi-Yau.png
6 Dimension Calabi-Yau representation.
Source(s):
http://en.wikipedia.org/wiki/M-theory

http://www.physicsforums.com/archive/index.php/t-273388.html

http://www.newton.dep.anl.gov/askasci/math99/math99265.htm

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