Flat
Like an angle in a triangle
A plane upon a plane
Euclidian geometry's
Not too hard to explain
Like a snowball down a mountain
Or a path upon a sphere
Once you hit that third dimension
It all becomes less clear
Like a tiny 1-D superstring
That's infinitely small
It exists in ten dimensions,
Or is it really there at all?
These are problems that you face
When pondering n-dimensional space

Like a tesseract unfolding
As from nowhere it has grown
We see it coming from a fourth
Dimension of its own
Like a door that keeps revolving
Pushed by Schroedinger's dead cat
Just which three of the ten
Dimensions are we looking at?
Like a theory mutated
On a plane that's rearranged
And topology that's twisted
'Till reality has changed
Can mathematics keep apace
With changing N-dimensional space?

Sets that hold dimensions
Whose dimensions set the sets
If you understand recursion
That's as complex as it gets
Things that by their interactions
And their intersects defined
Does the logical conclusion cause
Implosion of the mind?
Pictures like they were by Dali
Looking really, very odd
In the depths of quantum physics
Do we see the face of God?
When you knew exams were over
Were you suddenly aware
That what you wrote was rubbish
But now you really couldn't care...

Like a one-dimensional ribbon
Like a thread around a thread
Superstring theory turns
The world upon its head
And it shows a certain grace
Electro-microscopic lace
In N-Dimensional space