@C0@l@bWhat do I see?

@C0@lWhen geomview is ready, you should see two

@C0@lwindows, labeled "X_W_plane", and 

@C0@l"X_Y_Z_hyperplane".  They each show a

@C0@lset of axes and a point.  

@C0@l

@C4@lIf you haven't already, move the slider

@C4@lunder "MOTION" to make the object rotate.

@C0@l

@C0@lNotice what is happening in 

@C0@lthe X_Y_Z_hyperplane-- the point is moving

@C0@lalong the x axis.  

@C0@l

@C4@lUse the LEFT mouse button in the X_Y_Z_hyperplane 

@C4@lto move it around and get a better look.  

@C4@lYou can move the X_Y_Z_hyperplane like this

@C4@lat any point during this demo.

@C0@l

@C0@l@bWhat's going on?

@C0@lWe are watching several projections of a

@C0@lpoint moving in four dimensional space. 

@C0@l

@C4@lClick on the "Reset" button.

@C0@l

@C0@lYou will notice that the point starts out 

@C0@lat approximately (x=.7, y=0, z=0, w=.3).

@C0@l

@C4@lClick "Fast" or "Slow" to make it move again.

@C0@l

@C0@lThe movement of the point in the

@C0@lx direction can been seen in the projection

@C0@linto the X_Y_Z_hyperplane, but its movement

@C0@lin the w direction has been hidden (or 

@C0@l"projected out").

@C0@l

@C0@lNotice that everything has been color-coded

@C0@laccording to height in the w direction, so

@C0@lthat when the w coordinate of the point is

@C0@lhigh, the point is colored red, and when it

@C0@lis low, the point is colored blue.

@C0@l

@C4@lPress "2 points" to continue.

