Its called trancing. If you have a calm bunny you can just flip him over and pet him and he will stay like that for a while. He sleeps either flat on the ground or on his side with his legs sticking up. The first time he did it I thought he was dead. My heart started racing. I tried to touch him and he did not move. After a few seconds he jumped up scared me to death. He has done that a few times now. He needs to stop scaring me like that. He is a very deep sleeper.
OMG that last pic just made me die! SOOOOOO CUTE!!!!!! My bunny does that sometimes but only on the floor and never long enough for me to snap a pic! I had 2 bunnies before him and none of them ever did that!