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CLUViz Geometric Algebra Animation Software
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====Support Diagrams==== Four support diagrams are used in order to assist those less familiar with the underlying concepts with understanding the process. * Two support diagrams are used to depict the user chosen rotation angle for both Alice and Bob as a disk. * Another support diagram is used to display the angle difference between Alice's and Bob's Rotation Axes on the plane in which they both reside. * Another support diagram is used to display the angle difference between the initial and final message vectors on the plane in which they both reside. As mentioned previously there are three situations in which the initial message vector will equal the final message vector and each of these are successfully represented by these support diagrams. As such, each of these support diagrams complement each other in providing a clear visual depiction of the commuting rotations. In the case of one of the rotation angles being equal to 0 degrees, you will see the initial message vector m equal the final message vector m'. Also, when Alice's Rotation Axis crosses over with Bob's Rotation Axis and hence the angle between them equals 0 degrees, we will see from the other support diagram that the two message vectors m and m' are also equal. These second two support diagrams complement each other in providing a clear visual depiction of the commuting rotations.
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