From the moment that Penny and Leonard return from Vegas, Penny's hair is pulled back. It is obvious that it is a lot longer than during the previous scene, which should be on the same day. The hairstyle choice seems to be chosen to hide the fact that this scene was filmed on a later date.
During the flashback segment where Sheldon starts the video call with Amy, the Gollum figurine was front-orientation, eyes looking at Sheldon. However by the end of the video call, the figurine orientation has changed such that it is looking toward the camera. Accounting for the different camera angle, there is at least 30° movement before Sheldon ever touches it.