41 citations · 97 across the 8 of their papers we have counts for
8 papers
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…
Course notes Geometric Algebra for Computer Graphics, SIGGRAPH 2019
Charles G. Gunn
What is the best representation for doing euclidean geometry on computers? These notes from a SIGGRAPH 2019 short course entitled "Geometric algebra for computer graphics" introduc…
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).…
On the Homogeneous Model Of Euclidean Geometry
Charles Gunn
We attach the degenerate signature (n,0,1) to the projectivized dual Grassmann algebra over R(n+1). We explore the use of the resulting Clifford algebra as a model for euclidean ge…