Pray Style Sticky Walkways

Hi I'm currently in the process of making my final year project. One of the requirements for the game we wish to make involves platforms which the player can walk on but that are in every angle (Upside down, Sideways and normal.) I remember playing the game Prey and the game had these Sticky platforms which are exactly what we want can anybody help?

http://www.youtube.com/watch?v=qjPp3pA_Xoc (Between 0:24-1:15 is what we are looking for)

You could rotate the entire world, if it would be that kind of effect.

Otherwise, if it is only your character that has to walk on them and you are controlling him with a charactercontroller, you would just get the orientation of whatever he is standing on, and set his rotation and gravity after that.

Just throwing ideas out there