Symmetry operator combinations:
Rotation axis and perpendicular translation: Generates a rotation axis of the same order situated on the bisector of the translation vector with a height -counted from it- of ½ of the translation vector times the cotangent of half of the angle of rotation.
Fig. 15. Combination of rotation axis and perpendicular translation.
Examples of combination
Fig. 16. Example of combination (rotation axes and perpendicular translation).
Rotation axis and parallel translation: Generates a screw axis.
Fig. 17. Combination of rotation axes and parallel translation.
Rotation axis and general translation: Generates a screw axis of the same order situated on the bisector of the translation vector with a height -counted from it- of ½ of the translation vector times the cotangent of half of the angle of rotation.
Fig. 18. Combination of rotation axes and general translations.
