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  2. Real Life (novel) - Wikipedia

    en.wikipedia.org/wiki/Real_Life_(novel)

    Real Life is Taylor's first novel; he is a "scientist turned novelist" who did his undergraduate studies at Auburn University Montgomery. [2] Charles Arrowsmith, writing for The Washington Post, said that "Like many first novels, Real Life appears to hew to its author's own experience—Taylor has written in numerous personal essays about being gay and Southern, his abusive upbringing and his ...

  3. 3D rotation group - Wikipedia

    en.wikipedia.org/wiki/3D_rotation_group

    The rotation group is a group under function composition (or equivalently the product of linear transformations). It is a subgroup of the general linear group consisting of all invertible linear transformations of the real 3-space. [2] Furthermore, the rotation group is nonabelian. That is, the order in which rotations are composed makes a ...

  4. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    Noting that any identity matrix is a rotation matrix, and that matrix multiplication is associative, we may summarize all these properties by saying that the n × n rotation matrices form a group, which for n > 2 is non-abelian, called a special orthogonal group, and denoted by SO(n), SO(n,R), SO n, or SO n (R), the group of n × n rotation ...

  5. Point groups in three dimensions - Wikipedia

    en.wikipedia.org/wiki/Point_groups_in_three...

    An object having symmetry group D n, D nh, or D nd has rotation group D n. An object having a polyhedral symmetry (T, T d, T h, O, O h, I or I h) has as its rotation group the corresponding one without a subscript: T, O or I. The rotation group of an object is equal to its full symmetry group if and only if the object is chiral. In other words ...

  6. Rotation (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Rotation_(mathematics)

    The rotation group is a Lie group of rotations about a fixed point. This (common) fixed point or center is called the center of rotation and is usually identified with the origin. The rotation group is a point stabilizer in a broader group of (orientation-preserving) motions. For a particular rotation: The axis of rotation is a line of its ...

  7. Quaternions and spatial rotation - Wikipedia

    en.wikipedia.org/wiki/Quaternions_and_spatial...

    3D visualization of a sphere and a rotation about an Euler axis (^) by an angle of In 3-dimensional space, according to Euler's rotation theorem, any rotation or sequence of rotations of a rigid body or coordinate system about a fixed point is equivalent to a single rotation by a given angle about a fixed axis (called the Euler axis) that runs through the fixed point. [6]

  8. Finite subgroups of SU(2) - Wikipedia

    en.wikipedia.org/wiki/Finite_subgroups_of_SU(2)

    Let Γ be a finite subgroup of SO(3), the three-dimensional rotation group.There is a natural homomorphism f of SU(2) onto SO(3) which has kernel {±I}. [4] This double cover can be realised using the adjoint action of SU(2) on the Lie algebra of traceless 2-by-2 skew-adjoint matrices or using the action by conjugation of unit quaternions.

  9. Brandon Taylor (writer) - Wikipedia

    en.wikipedia.org/wiki/Brandon_Taylor_(writer)

    Taylor's book tour to publicize his novel was cut short by the COVID-19 pandemic and associated restrictions on travel and public gatherings. [26] Real Life was shortlisted for the 2020 Booker Prize. [27] The New York Times included the novel on its list of "100 Notable Books of 2020". [28]