Euclidean symmetries

in Euclidean geometry, a function that moves every point a constant distance in a specified direction

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

congruent transformation of a geometric space that preserves at least one point

motion in space when there is fixed line of points

group of symmetries of a regular polygon

type of isometry of Euclidean space

mathematical group consisting of transformations of a Euclidean space which preserve distance and a fixed point

symmetry with respect to a plane, when the shape does not change by reflecting all of its part from a mirror plane

group of geometric symmetries (isometries) that keep at least one point fixed

mathematical classification of a two-dimensional repetitive pattern

symmetry operation combining reflection across and translation along an axis

theorem

type of symmetry group

isometry group of Euclidean space

rotation composed with a reflection

groups of point isometries in 3 dimensions

bijection of an Euclidean space that preserves distances

regular polygonal symmetries

isometry of the Eluclidean plane

Statistical shape analysis technique

Math formula for 3D vector rotation

ways to represent 3D rotations