Movie Description and Formats:

This movie shows projections of the complex squaring function (over the unit square) into three-space as the graph is rotated in four-space. The initial position projects into the x, y, u space, so this is the graph of the real part of the complex square function. The final position is the projection into the x, y, v space, which is the graph of the imaginary part of the complex square. The intermediate frames follow the rotation in the uv-plane that takes the v-axis to the u-axis.

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