3D Transformations: Basics and Euler Angles

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Covers the preservation of isometry by rotations and symmetries.

Explores Galilean transformations in spacetime, focusing on measurements and coordinate transformations.

Explores ray-triangle intersection, barycentric coordinates, points vs. vectors, and other primitives.

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Explores kinematics and dynamics of rigid bodies, including Euler angles and moment of inertia.

Covers angular momentum in rotations, including preservation of angles and vector products.

Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.

Covers the basics of kinematics, including joint coordinates, operational variables, wrist configurations, and geometric models.

Delves into modern geometry, covering transformations, isometries, and symmetries.