# Higher Homotopy groups [closed]

Are there topological spaces with non trivial homotopy groups $\pi_{>=2}$ that are visualizeable?

I'm thinking about the the shape of what is called a "higher dimensional hole" but I can't find anything about it...

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On the face of it, this would seem a better fit at maths.stackexchange.com. –  Andrew Stacey Oct 14 '11 at 9:09
I agree with Andrew and also voted to close. However, you might enjoy thinking about the geometry of the Hopf fibration. Look it up on Wikipedia. –  Dan Petersen Oct 14 '11 at 9:13
en.wikipedia.org/wiki/… is probably the first page you want to look at. –  Marco Golla Oct 14 '11 at 9:21
Niles Johnson has an animation of the Hopf fibration on his website that might be helpful. –  Sean Tilson Oct 14 '11 at 15:34