Quaternions and spatial rotation the rotation. As the rotation angles become larger, the slice moves in the negative "z" direction, and the circles become larger until the equator of the sphere is reached, which will correspond to a rotation angle of 180 degrees. Continuing southward, the radii of the circles now become smaller (corresponding to the absolute value of the angle of the rotation considered as a negative number). Finally, as the south pole is reached, the circles shrink once more to the identity rotation, which is also specified as the point at the south pole. Notice that a number of characteristics of such
Allied Masonic Degrees Allied Masonic Degrees The Allied Masonic Degrees (AMD) are a series of Masonic degrees conferred by "Councils of the Allied Masonic Degrees". The Allied Masonic Degrees form an appendant order of Freemasonry that exists in some Masonic jurisdictions; its degrees are conferred only by invitation. Councils of the Allied Masonic Degrees exist in Great Britain, the United States, Canada, France and Australia and their members also educate one another by presenting research papers on Freemasonry. The structure is very like that of the craft lodges, with the exception that the offices of Secretary and Treasurer may be combined in some