Sounds familiar. Ours is 2.5 and we haven't been able to get her to have an afternoon nap for MONTHS. She goes to bed at about 9-11pm and is up anywhere from 8-9am. She gets horribly crabby if she doesn't nap, which is why we often call her Grumpybum. The best we get is sometimes she just passes out where she is in the afternoon and gets a half hour nap, usually on the floor using her stuffed cat as a pillow. She can even keep awake during a long car trip at 3pm!

Other one didn't drop the afternoon nap until she was 4 and at 2 she was sleeping 14 hours a night plus at least an hour morning and afternoon. I still find it weird that my 9yo goes to bed earlier than my 2yo and sometimes *I* sleep longer than the 2yo.