Quaternions and spatial rotation of a circle representing a particular rotation angle will be half of the angle represented by that rotation, since as the point is moved from the north to south pole, the latitude ranges from zero to 180 degrees, while the angle of rotation ranges from 0 to 360 degrees. (the "longitude" of a point then represents a particular axis of rotation.) Note however that this set of rotations is not closed under composition. Two successive rotations with axes in the "xy" plane will not necessarily give a rotation whose axis lies in the "xy" plane, and thus cannot be represented
Backstreet Boys: Larger Than Life making it the most attended residency in Las Vegas in terms of average audience. Encore: Clips from BACKSTREET BOYS – SHOW 'EM WHAT YOU'RE MADE OF feature film (c) Pulse Films/K Bahn LLC 2015 and BSB personal archives Special Thanks: Notes Backstreet Boys: Larger Than Life Backstreet Boys: Larger Than Life is the first concert residency by American vocal group Backstreet Boys, performed at Zappos Theater (formerly The AXIS Theater) in the Planet Hollywood Resort & Casino in Las Vegas, Nevada. The show had its opening night on March 1, 2017 and is scheduled to close on April 27, 2019