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Combined display of all available logs of Rigid Geometric Algebra. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).
- 05:39, 15 July 2023 Eric Lengyel talk contribs uploaded File:Plane meet plane.svg
- 05:39, 15 July 2023 Eric Lengyel talk contribs created page File:Line join point.svg
- 05:39, 15 July 2023 Eric Lengyel talk contribs uploaded File:Line join point.svg
- 05:39, 15 July 2023 Eric Lengyel talk contribs created page File:Point join point.svg
- 05:39, 15 July 2023 Eric Lengyel talk contribs uploaded File:Point join point.svg
- 05:38, 15 July 2023 Eric Lengyel talk contribs created page Join and meet (Created page with "The ''join'' is a binary operation that calculates the higher-dimensional geometry containing its two operands, similar to a union. The ''meet'' is another binary operation that calculates the lower-dimensional geometry shared by its two operands, similar to an intersection. The points, lines, and planes appearing in the following tables are defined as follows: :$$\mathbf p = p_x \mathbf e_1 + p_y \mathbf e_2 + p_z \mathbf e_3 + p_w \mathbf e_4$$ :$$\mathbf...")
- 05:34, 15 July 2023 Eric Lengyel talk contribs created page File:Skew lines.svg
- 05:34, 15 July 2023 Eric Lengyel talk contribs uploaded File:Skew lines.svg
- 05:34, 15 July 2023 Eric Lengyel talk contribs created page File:Line infinity.svg
- 05:34, 15 July 2023 Eric Lengyel talk contribs uploaded File:Line infinity.svg
- 05:34, 15 July 2023 Eric Lengyel talk contribs created page File:Line.svg
- 05:34, 15 July 2023 Eric Lengyel talk contribs uploaded File:Line.svg
- 05:34, 15 July 2023 Eric Lengyel talk contribs created page Line (Created page with "400px|thumb|right|'''Figure 1.''' A line is the intersection of a 4D bivector with the 3D subspace where $$w = 1$$. In the 4D rigid geometric algebra $$\mathcal G_{3,0,1}$$, a ''line'' $$\boldsymbol l$$ is a bivector having the general form :$$\boldsymbol l = l_{vx} \mathbf e_{41} + l_{vy} \mathbf e_{42} + l_{vz} \mathbf e_{43} + l_{mx} \mathbf e_{23} + l_{my} \mathbf e_{31} + l_{mz} \mathbf e_{12}$$ . The components $$(l_{vx}, l_{vy}, l_{vz})$$ corr...")
- 05:31, 15 July 2023 Eric Lengyel talk contribs created page Bulk and weight (Created page with "The bulk generally contains information about the position of an element relative to the origin, and the weight generally contains information about the attitude and orientation of an element. An object with zero bulk contains the origin. An object with zero weight is contained by the horizon. An element is unitized when the magnitude of its weight is one. The following table lists the bulk and weight for the main types in the 4D rigid geometric algebra $$\mathcal...")
- 05:29, 15 July 2023 Eric Lengyel talk contribs created page Attitude (Created page with "The attitude function, denoted by $$\operatorname{att}$$, extracts the attitude of a geometry and returns a purely directional object. The attitude function is defined as :$$\operatorname{att}(\mathbf x) = \mathbf x \vee \overline{\mathbf e_4}$$ . The attitude of a line is the line's direction as a vector, and the attitude of a plane is the plane's normal as a bivector. The following table lists the attitude for the main types in the 4D rigid geometric algebra...")
- 05:27, 15 July 2023 Eric Lengyel talk contribs created page File:Proper isom.svg
- 05:27, 15 July 2023 Eric Lengyel talk contribs uploaded File:Proper isom.svg
- 05:27, 15 July 2023 Eric Lengyel talk contribs created page Motor (Created page with "400px|thumb|right|'''Figure 1.''' A motor represents a proper Euclidean isometry, which can always be regarded as a rotation about a line $$\mathbf L$$ and a displacement along the same line. A ''motor'' is an operator that performs a proper isometry in Euclidean space. Such isometries encompass all possible combinations of any number of rotations and translations. The name motor is a portmanteau of ''motion operator'' or ''moment vector...")
- 05:24, 15 July 2023 Eric Lengyel talk contribs created page File:Basis.svg
- 05:24, 15 July 2023 Eric Lengyel talk contribs uploaded File:Basis.svg