I can easily visualize the 3 dimensional way to do so, and already have. I'd like to rotate from the (-1,-1,-1,-1) -- (1,1,1,1) line to the x axis (-1,0,0,0) -- (1,0,0,0). To do so in 3 dimensions (-1,-1,-1) -- (1,1,1) line to the x axis (-1,0,0) -- (1,0,0) I rotated around the z axis (xy plane) by pi/2 - acos(sqrt(1/2))= pi/4 Next I rotated around the y axis (zx plane) by pi/2 - acos (sqrt(2/3)) *** I had to use this angle because the x portion had already been rotated with the y portion This got me to the x axis. Should I just rotate around the xw plane? I'm assuming the 3rd angle would be pi/2 - acos(sqrt(3/4)) because I will have to take into account the 2 previous x rotations. The reason is I'm modifying a fractal's 4 dimensional formula: MODS- don't know if this is the correct forum???