41 citations · 97 across the 8 of their papers we have counts for
6 papers · 1 filter
Penrose's eight-conic theorem
Russell Arnold, Albert Chern, Morten Eide +3
This article proves the following theorem, first enunciated by Roger Penrose about 70 years ago but never published: In , if conics are assigned to seven of the ve…
A bit better: Variants of duality in geometric algebras with degenerate metrics
Charles G. Gunn
Multiplication by the pseudoscalar has been traditionally used in geometric algebra to perform non-metric operations such as calculating coordinates and the regressive…
Projective geometric algebra: A new framework for doing euclidean geometry
Charles G. Gunn
A tutorial introduction to projective geometric algebra (PGA), a modern, coordinate-free framework for doing euclidean geometry. PGA features: uniform representation of points, lin…
Doing euclidean plane geometry using projective geometric algebra
Charles G. Gunn
The article presents a new approach to euclidean plane geometry based on projective geometric algebra (PGA). It is designed for anyone with an interest in plane geometry, or who wi…
Geometric Algebras for Euclidean Geometry
Charles G. Gunn
The discussion of how to apply geometric algebra to euclidean -space has been clouded by a number of conceptual misunderstandings which we first identify and resolve, based on a…
Rational trigonometry via projective geometric algebra
Charles Gunn
We show that main results of rational trigonometry (as developed by NJ Wildberger, "Divine Proportions", 2005) can be succinctly expressed using projective geometric algebra (PGA).…