11 citations · 29 across the 14 of their papers we have counts for
14 papers
Super Catalan Numbers and Fourier Summation over Finite Fields
Kevin Limanta, Norman J. Wildberger
We study polynomial summation over unit circles over finite fields of odd characteristic, obtaining a purely algebraic integration theory without recourse to infinite procedures. T…
Generalised vector products and metrical trigonometry of a tetrahedron
Gennady A Notowidigdo, Norman J Wildberger
We study the general rational trigonometry of a tetrahedron, based on quadrances, spreads and solid spreads, using vector products associated to an arbitrary symmetric bilinear for…
Generalised vector products in three-dimensional geometry
Gennady A Notowidigdo, Norman J Wildberger
In three-dimensional Euclidean geometry, the scalar product produces a number associated to two vectors, while the vector product computes a vector perpendicular to them. These are…
Universal Hyperbolic Geometry II: A pictorial overview
N J Wildberger
This article provides a simple pictorial introduction to universal hyperbolic geometry. We explain how to understand the subject using only elementary projective geometry, augmente…
Spread polynomials, rotations and the butterfly effect
Shuxiang Goh, N. J. Wildberger
The spread between two lines in rational trigonometry replaces the concept of angle, allowing the complete specification of many geometrical and dynamical situations which have tra…
Universal Hyperbolic Geometry I: Trigonometry
N. J. Wildberger
Hyperbolic geometry is developed in a purely algebraic fashion from first principles, without a prior development of differential geometry. The natural connection with the geometry…