However, this creates a discontinuity when the antipodal points are the poles . talk ) 20 : 34, 20 July 2014 ( UTC)
22.
Just as in the simpler example above, each rotation represented as a point on the hypersphere is matched by its antipodal point on that hypersphere.
23.
I want to know whether there is a systematic procedure for choosing ONE great circle through each pair of antipodal points so that no discontinuities occur.
24.
If the impact event is sufficiently energetic it can cause mantle plume ( volcanism ) at the antipodal point ( the opposite side of the world ).
25.
In 2015 Emanuello & Nolder performed the compactification by first embedding the motor plane into a torus, and then making it projective by identifying antipodal points.
26.
The "'geomagnetic poles "'are antipodal points where the axis of a best-fitting dipole intersects the Earth's surface.
27.
One can further restrict to the upper hemisphere of " S " " n " and merely identify antipodal points on the bounding equator.
28.
Also, each rotation is actually represented by two antipodal points on the sphere, which are at opposite ends of a line through the center of the sphere.
29.
:: Given any two antipodal points, the procedure, or algorithm, needs to independently return a unique great circle without any reference to any previous history.
30.
Furthermore, the map T ( above ) from S 2 to this quotient has the special property that it is locally injective away from six pairs of antipodal points.
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