At risk of piling on, here's an excerpt from an email I wrote to my team once.
Quote:
To better understand "degrees of freedom," consider a fish flying through the air:

The fish is free to translate along each of the three principal axes of our 3-D world: X, Y, and Z. That's 3 DOFs. The fish is also free to rotate about each of these axes as well. That's another 3 DOFs, for 6 total. All solid objects floating through space, like the fish is doing, have exactly 6 degrees of freedom.
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Secure your battery well, or it will fly like a fish.