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 equivalent of the Allied Masonic Degrees, nor are the degrees for which it is responsible carried out under the auspices of any of the Scottish masonic bodies, although the 'Red Cross of Babylon' is a truncated version of the Scottish 'Babylonish Pass' degree under the control of the Supreme Grand Royal Arch Chapter of Scotland. There is no reciprocal agreement on intervisitation in the 'Lodge & Council' degrees between the Supreme Grand Royal Arch Chapter of Scotland and the Council of the Allied Masonic Degrees. Nonetheless, "The Grand Council of the Allied Masonic Degrees of England and Wales and Districts