Projective geometric algebra: A new framework for doing euclidean geometry · HackerPapers discussions

Projective geometric algebra: A new framework for doing euclidean geometry — mentioned by pjbk

Thu, 19 Nov 2020 00:44:28 GMT

The answer depends on the kind of Clifford/Geometric Algebra being used, the structure for the vector bases and the selected result of the quadratic forms. Those choices are mostly driven by the end application where the algebra will be used, with its similarities (obviously, they are all algebras) and particularities. * "A brief introduction to Clifford algebra" - https://www.researchgate.net/profile/Giorgio_Vassallo/public... * "Doing euclidean plane geometry using projective geometric algebra" - https://arxiv.org/pdf/1501.06511.pdf * "Projective geometric algebra: A new framework for doing…

Paper and discussion history. A mention is not an endorsement.

Projective geometric algebra: A new framework for doing euclidean geometry — mentioned by ivan_ah

Sun, 09 Feb 2020 18:14:16 GMT

Here are some direct links to some of the PGA (Projective Geometric Algebra) resources mentioned in the talk: 1. The 2D and 3D cheat sheets are here: https://bivector.net/doc.html 2. The talk is also available in "paper form" on the arXiv: https://arxiv.org/abs/1901.05873 3. Ganja.js repo https://github.com/enkimute/ganja.js and the associated demos in the Ganja coffee shop https://enkimute.github.io/ganja.js/examples/coffeeshop.html ____ For more background about the concepts like quaternions, projective geometry, and exterior algebra, etc. that are all united in PGA, you can check this nice…

Paper and discussion history. A mention is not an endorsement.