I have developed a whole series of Animations that deal with Rotations in the 4Th Dimension and other topics. I believe the Axis Sharing concept and the concept of Dimensional Points, which are discussed in detail, might provide some new insight into understanding the 4Th dimension. The Animations begin by illustrating some basic concepts like Axis Sharing, then a whole group of Rotations are demonstrated. The concept of Dimensional Points is then introduced and then Animations showing how we might understand Rotations on a Plane of points is given. Then several Animations attempt to demonstrate how 3D Space can be viewed as Flat from 4D Space. Please click on the link below to view the Animations:
http://www.theintermind.com/ExploringThe4thDimensionUsingAnimations/ExploringThe4thDimensionUsingAnimations.asp
Thank You
Steve Klinko