both Euler angles and unit quaternions. This article explains how to convert between the two representations. Actually this simple use of "quaternions" was...

The Euler angles are three angles introduced by Leonhard Euler to describe the orientation of a rigid body with respect to a fixed coordinate system. They...

Altmann (1986)[page needed] Conversion between quaternions and Euler angles – Mathematical strategy Dual quaternion – Eight-dimensional algebra over the...

Clifford algebras Conversion between quaternions and Euler angles Covering space Dual quaternion Applications of dual quaternions to 2D geometry Elliptic...

a rotation matrix from Euler angles? and Q37. How do I convert a rotation matrix to Euler angles? — The Matrix and Quaternions FAQ Imaginary numbers are...

For a generalised idea of quaternions, one should look into Rotors. Euler angles can also be used, though not with each angle uniformly distributed (Murnaghan...

Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric...

conflict. Screw theory Rational motion Quaternions and spatial rotation Conversion between quaternions and Euler angles Olinde Rodrigues Dual-complex number...

identity. Three angles are the angles of some triangle if and only if their sum is 180° (π radians). What condition on 12 angles is necessary and sufficient...

manipulating and converting between datatypes such as vectors, homogeneous transformations, roll-pitch-yaw and Euler angles, axis-angle representation...

obtained independently by using Euler angles or a quaternion to relate the two vector bases, so the basis conversions can be performed directly, without...

is drawn with space and time axes that meet at right angles, the primed frame is drawn with axes that meet at acute or obtuse angles. This asymmetry is...

M_{j}^{(-)^{s_{i}}\theta _{2}}} . As an illustrative example, consider the Euler rotation in the X Z X {\displaystyle XZX} basis: such operation, in the...

(1805–1865): Irish mathematician, astronomer, and physicist. Inventor of Hamiltonian mechanics and quaternions. Gregor Mendel (1822–1884): Augustinian Abbot...