double rotation

plural double rotations

1. geometryTwo rotations (of an object with four or more dimensions) that happen simultaneously along two different two-dimensional planes without interfering with each other.

   This matrix form makes it clear that a double rotation can be thought of as two simultaneous simple rotations: in this case a rotation of angle #92;alpha#92;in(-#92;pi,#92;pi#93; in the x–y plane, and one of angle #92;beta#92;in(-#92;pi,#92;pi#93; in the (z–w)^([sic]) plane.

   2023 September 14, Ben McCanna, Hannah M. Price, “Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations”, in arXiv, →DOI