You can also use the for making pretty pictures of Quaternion Julia fractals. It uses non-unit quaternions, but typically intersects a plane with the 4D solid:

You can also use the for making pretty pictures of Quaternion Julia fractals. It uses non-unit quaternions, but typically intersects a plane with the 4D solid: http://paulbourke.net/fractals/quatjulia/ http://paulbourke.net/fractals/quatjulia/ Apparently there's also an application in multiantenna radio transmission: http://www.ece.ualberta.ca/~hcdc/Library/StCommClass/Hugh00.pdf http://www.ece.ualberta.ca/~hcdc/Library/StCommClass/Hugh00....