Charts on SO(3) closed set under composition. This visualization can be extended to a general rotation in 3-dimensional space. The identity rotation is a point, and a small angle of rotation about some axis can be represented as a point on a sphere with a small radius. As the angle of rotation grows, the sphere grows, until the angle of rotation reaches 180 degrees, at which point the sphere begins to shrink, becoming a point as the angle approaches 360 degrees (or zero degrees from the negative direction). This set of expanding and contracting spheres represents a hypersphere in four-dimensional space (a 3-sphere).
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