double rotation

English

Etymology

From double +‎ rotation.

Pronunciation

• IPA^(key): /ˈdʌb(ə)l ɹəʊˌteɪʃən/

Noun

double rotation (plural double rotations)

1. (geometry) Two rotations (of an object with four or more dimensions) that happen simultaneously along two different two-dimensional planes without interfering with each other.
   • 2023, Ben McCanna, Hannah M. Price, “Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations”, in arXiv‎, →DOI:

     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 ${\displaystyle \alpha \in (-\pi ,\pi ]}$ in the x–y plane, and one of angle ${\displaystyle \beta \in (-\pi ,\pi ]}$ in the (z–w)^[sic] plane.

Usage notes

Although a rotation is generally understood as the turning around an axis, this only holds true in three dimensions. In higher dimensions, it is understood as the turning along a two-dimensional plane.