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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).
- 02:39, 11 August 2024 Eric Lengyel talk contribs created page Projective Geometric Algebra Done Right (Created page with "This content has been moved to the following location: [https://terathon.com/blog/pga-done-right.html https://terathon.com/blog/pga-done-right.html]")
- 02:37, 11 August 2024 Eric Lengyel talk contribs created page Symmetries in Projective Geometric Algebra (Created page with "This content has been moved to the following location: [https://terathon.com/blog/symmetries-pga.html https://terathon.com/blog/symmetries-pga.html]")
- 02:37, 11 August 2024 Eric Lengyel talk contribs created page Space-Antispace Transform Correspondence in Projective Geometric Algebra (Created page with "This content has been moved to the following location. [https://terathon.com/blog/space-antispace-pga.html https://terathon.com/blog/space-antispace-pga.html]")
- 03:02, 10 August 2024 Eric Lengyel talk contribs deleted page Space-Antispace Transform Correspondence in Projective Geometric Algebra
- 03:02, 10 August 2024 Eric Lengyel talk contribs deleted page Symmetries in Projective Geometric Algebra
- 03:01, 10 August 2024 Eric Lengyel talk contribs deleted page Projective Geometric Algebra Done Right
- 07:11, 8 August 2024 Eric Lengyel talk contribs moved page Reciprocal translations to Complement translations without leaving a redirect
- 07:10, 8 August 2024 Eric Lengyel talk contribs moved page Reciprocal translation to Complement translation without leaving a redirect
- 07:10, 8 August 2024 Eric Lengyel talk contribs moved page Reciprocal rotations to Complement rotations without leaving a redirect
- 07:07, 8 August 2024 Eric Lengyel talk contribs moved page Reciprocal rotation to Complement rotation without leaving a redirect
- 19:10, 12 May 2024 Eric Lengyel talk contribs created page Errata (Created page with "This is the errata page for the ''Projective Geometric Algebra Illuminated''. To find out which printing you have, look on the copyright page. == First Printing == * '''Page 84.''' In Table 2.16, both bulk duals of $$\mathbf e_4$$ should be 0. * '''Page 156.''' The number of multiply-adds required for transforming a line with a motor did not include the work needed to calculate $$\mathbf a$$, $$\mathbf b$$, and $$\mathbf c$$. Each cross product adds 6 multiply-adds, s...")
- 01:31, 12 May 2024 Eric Lengyel talk contribs created page File:Duals.svg
- 01:31, 12 May 2024 Eric Lengyel talk contribs uploaded File:Duals.svg
- 01:30, 12 May 2024 Eric Lengyel talk contribs deleted page File:Complements.svg (Deleted old revision 20240512013015!Complements.svg)
- 01:30, 12 May 2024 Eric Lengyel talk contribs uploaded a new version of File:Complements.svg
- 01:48, 29 April 2024 Eric Lengyel talk contribs created page Exercises (Created page with "These are exercises accompanying the book [https://www.amazon.com/dp/B0CXY8C72T/?tag=terathon-20 ''Projective Geometric Algebra Illuminated'']. == Exercises for Chapter 2 == '''1.''' Show that Equation (2.35) properly constructs a line containing two points $$\mathbf p$$ and $$\mathbf q$$ with non-unit weights by considering $$\mathbf p / p_w \wedge \mathbf q / q_w$$ and then scaling by $$p_wq_w$$. '''2.''' Let $$\mathbf u$$ be a basis element of the 4D projective alg...")
- 21:27, 21 April 2024 Eric Lengyel talk contribs created page Euclidean angle (Created page with "The cosine of the Euclidean angle $$\cos \phi(\mathbf a, \mathbf b)$$ between two geometric objects '''a''' and '''b''' can be measured by the homogeneous magnitude given by :$$\cos \phi(\mathbf a, \mathbf b) = \left\Vert \mathbf a \vee \mathbf b^\unicode["segoe ui symbol"]{x2606}\right\Vert_\unicode{x25CF} + \left\Vert\mathbf a \right\Vert_\unicode{x25CB}\left\Vert\mathbf b \right\Vert_\unicode{x25CB}$$. In the case that the grades of $$\mathbf a$$ and $$\mathbf b...")
- 21:27, 21 April 2024 Eric Lengyel talk contribs created page File:Angle line line.svg
- 21:27, 21 April 2024 Eric Lengyel talk contribs uploaded File:Angle line line.svg
- 21:27, 21 April 2024 Eric Lengyel talk contribs created page File:Angle plane line.svg
- 21:27, 21 April 2024 Eric Lengyel talk contribs uploaded File:Angle plane line.svg
- 21:27, 21 April 2024 Eric Lengyel talk contribs created page File:Angle plane plane.svg
- 21:27, 21 April 2024 Eric Lengyel talk contribs uploaded File:Angle plane plane.svg
- 23:27, 13 April 2024 Eric Lengyel talk contribs created page Weight dual (Redirected page to Duals) Tag: New redirect
- 23:27, 13 April 2024 Eric Lengyel talk contribs created page Bulk dual (Redirected page to Duals) Tag: New redirect
- 01:54, 13 April 2024 Eric Lengyel talk contribs created page Metric antiexomorphism matrix (Redirected page to Metrics) Tag: New redirect
- 01:53, 13 April 2024 Eric Lengyel talk contribs created page Metric exomorphism matrix (Redirected page to Metrics) Tag: New redirect
- 01:48, 13 April 2024 Eric Lengyel talk contribs created page Metrics (Created page with "The ''metric'' used in the 4D rigid geometric algebra over 3D Euclidean space is the $$4 \times 4$$ matrix $$\mathfrak g$$ given by :$$\mathfrak g = \begin{bmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 \\\end{bmatrix}$$ . The ''metric exomorphism matrix'' $$\mathbf G$$, often just called the "metric" itself, corresponding to the metric $$\mathfrak g$$ is the $$16 \times 16$$ matrix shown below. 420px The ''metri...")
- 01:48, 13 April 2024 Eric Lengyel talk contribs created page File:Antimetric-rga-3d.svg
- 01:48, 13 April 2024 Eric Lengyel talk contribs uploaded File:Antimetric-rga-3d.svg
- 01:45, 13 April 2024 Eric Lengyel talk contribs created page File:Metric-rga-3d.svg
- 01:45, 13 April 2024 Eric Lengyel talk contribs uploaded File:Metric-rga-3d.svg
- 06:16, 12 April 2024 Eric Lengyel talk contribs created page Dual (Redirected page to Duals) Tag: New redirect
- 06:15, 12 April 2024 Eric Lengyel talk contribs created page Duals (Created page with "The ''metric dual'' or just "dual" of an object $$\mathbf u$$ is denoted by $$\mathbf u^\unicode["segoe ui symbol"]{x2605}$$ and defined as :$$\mathbf u^\unicode["segoe ui symbol"]{x2605} = \overline{\mathbf{Gu}}$$ , where $$\mathbf G$$ is the extended metric tensor. The ''metric antidual'' or just "antidual" of an object $$\mathbf u$$ is denoted by $$\mathbf u^\unicode["segoe ui symbol"]{x2606}$$ and defined as :$$\mathbf u^\unicode["segoe ui symbol"]{x2606} = \over...")
- 06:45, 5 April 2024 Eric Lengyel talk contribs deleted page File:Groups.svg (Deleted old revision 20240405064511!Groups.svg)
- 06:45, 5 April 2024 Eric Lengyel talk contribs uploaded a new version of File:Groups.svg
- 06:43, 5 April 2024 Eric Lengyel talk contribs deleted page File:Duality.svg (Deleted old revision 20240405064301!Duality.svg)
- 06:43, 5 April 2024 Eric Lengyel talk contribs uploaded a new version of File:Duality.svg
- 06:41, 5 April 2024 Eric Lengyel talk contribs deleted page File:Improper isom.svg (Deleted old revision 20240405064147!Improper_isom.svg)
- 06:41, 5 April 2024 Eric Lengyel talk contribs uploaded a new version of File:Improper isom.svg
- 06:41, 5 April 2024 Eric Lengyel talk contribs deleted page File:Proper isom.svg (Deleted old revision 20240405064103!Proper_isom.svg)
- 06:41, 5 April 2024 Eric Lengyel talk contribs uploaded a new version of File:Proper isom.svg
- 06:03, 5 April 2024 Eric Lengyel talk contribs deleted page File:Line infinity.svg (Deleted old revision 20240405060354!Line_infinity.svg)
- 06:03, 5 April 2024 Eric Lengyel talk contribs uploaded a new version of File:Line infinity.svg
- 06:03, 5 April 2024 Eric Lengyel talk contribs deleted page File:Line.svg (Deleted old revision 20240405060328!Line.svg)
