Difference between revisions of "Main Page"
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− | This wiki is a repository of information about | + | == Projective Geometric Algebra == |
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+ | This wiki is a repository of information about Projective Geometric Algebra, and specifically the four-dimensional Clifford algebra $$\mathcal G_{3,0,1}$$. This algebra subsumes the conventional theories that include homogeneous coordinates, Plücker coordinates, quaternions, and dual quaternions. | ||
Please note that this wiki is still under construction and new information is actively being added. | Please note that this wiki is still under construction and new information is actively being added. |
Revision as of 06:40, 27 April 2021
Projective Geometric Algebra
This wiki is a repository of information about Projective Geometric Algebra, and specifically the four-dimensional Clifford algebra $$\mathcal G_{3,0,1}$$. This algebra subsumes the conventional theories that include homogeneous coordinates, Plücker coordinates, quaternions, and dual quaternions.
Please note that this wiki is still under construction and new information is actively being added.
- Point
- Line
- Plane
- Motor
- Flector
- Geometric property
- Complements
- Reverses
- Grade and antigrade
- Bulk and weight
- Exterior products
- Geometric products
- Interior products
- Geometric norm
- Unitization
- Projections
- Commutators
- Join and meet
- Euclidean distance
- Translation
- Rotation
- Reflection
- Inversion
- Transflection