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
Lonely Planet Six Degrees Lonely Planet Six Degrees Lonely Planet Six Degrees is Lonely Planet's flagship travel show, hosted by Asha Gill and Toby Amies. The show is centered on unique people living within locations, rather than simply famous tourist attractions, with one of the hosts meeting with one contact in a specific country, who in turn leads them to another contact, and so on, following the idea of six degrees of separation. In the first season Asha travelled to Mumbai, Buenos Aires, Kuala Lumpur, Melbourne, Auckland, Cape Town, London, and Singapore; while Toby travelled to Sydney, New York City, Havana, Hong Kong, Berlin,