quaternion

Four-dimensional objects.

Unit quaternions are efficient objects for representing rotations, and hence orientations.

Functions

von_mises(x, alpha[, reference])	A vastly simplified Von Mises-Fisher distribution calculation.
get_proper_groups(Gl, Gr)	Return the appropriate groups for the asymmetric domain calculation.
get_distinguished_points(s1[, s2])	Return points symmetrically equivalent to identity with respect to s1 and s2.
get_point_group(space_group_number[, proper])	Map a space group number to its (proper) point group.

Classes

Quaternion([data])	Quaternions.
Rotation(data)	Rotations of coordinate systems, leaving objects in place.
Misorientation(data[, symmetry])	Misorientations \(M\).
Orientation(data[, symmetry])	Orientations represent misorientations away from a reference of identity and have only one associated symmetry.
OrientationRegion(data)	Some subset of the complete space of orientations.
Symmetry(data)	The set of rotations comprising a point group.