[crakenzak]

Is it still considered a nap if you don't fall asleep?

[tzekid]

I would tip on "yes". It's a "no or low stimulus" time for your brain.

Personally I had a hard time "doing nothing," and found repeating and focusing on a word or sound in my head helpful - which technically transforms the nap into a lite meditation.

[delecti]

Maybe not, but when you're lying down the border between nap and meditation can be pretty blurry.