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2. Three-dimensional space - Wikipedia

   en.wikipedia.org/wiki/Three-dimensional_space

   A sphere in 3-space (also called a 2-sphere because it is a 2-dimensional object) consists of the set of all points in 3-space at a fixed distance r from a central point P. The solid enclosed by the sphere is called a ball (or, more precisely a 3-ball). The volume of the ball is given by

3. Rotation formalisms in three dimensions - Wikipedia

   en.wikipedia.org/wiki/Rotation_formalisms_in...

   Rotation formalisms are focused on proper (orientation-preserving) motions of the Euclidean space with one fixed point, that a rotation refers to.Although physical motions with a fixed point are an important case (such as ones described in the center-of-mass frame, or motions of a joint), this approach creates a knowledge about all motions.

4. Pinhole camera model - Wikipedia

   en.wikipedia.org/wiki/Pinhole_camera_model

   Note: the x 1 x 2 x 3 coordinate system in the figure is left-handed, that is the direction of the OZ axis is in reverse to the system the reader may be used to. The geometry related to the mapping of a pinhole camera is illustrated in the figure. The figure contains the following basic objects: A 3D orthogonal coordinate system with its origin ...

5. Axis–angle representation - Wikipedia

   en.wikipedia.org/wiki/Axis–angle_representation

   The angle θ and axis unit vector e define a rotation, concisely represented by the rotation vector θe.. In mathematics, the axis–angle representation parameterizes a rotation in a three-dimensional Euclidean space by two quantities: a unit vector e indicating the direction of an axis of rotation, and an angle of rotation θ describing the magnitude and sense (e.g., clockwise) of the ...

6. Right-hand rule - Wikipedia

   en.wikipedia.org/wiki/Right-hand_rule

   In mathematics and physics, the right-hand rule is a convention and a mnemonic, utilized to define the orientation of axes in three-dimensional space and to determine the direction of the cross product of two vectors, as well as to establish the direction of the force on a current-carrying conductor in a magnetic field.

7. Octant (solid geometry) - Wikipedia

   en.wikipedia.org/wiki/Octant_(solid_geometry)

   The eight (±,±,±) coordinates of the cube vertices are used to denote them. The horizontal plane shows the four quadrants between x- and y-axis. (Vertex numbers are little-endian balanced ternary.) An octant in solid geometry is one of the eight divisions of a Euclidean three-dimensional coordinate system defined