WebChromogeometry brings together Euclidean geometry (called blue) and two relativistic geometries (called red and green), in a surprising three-fold symmetry. We show how the … WebIn rational trigonometry, one wants to work over general fields, so the notion of angle is not available, but it is important to realize that the dot product is not necessarily th

Chromogeometry : Euler lines and Nine-point circles – GeoGebra

WebThis work has led to a lovely new three-fold symmetry in planar geometry called Chromogeometry, and a large-scale reformulation of the hyperbolic geometry that began with Lobachevsky, Bolyai, and Gauss, now called Universal Hyperbolic Geometry. You can find on this site his papers and some conference philosopher weil

Chromogeometry, The Mathematical Intelligencer DeepDyve

WebAug 23, 2024 · We consider three metrical geometries, the Euclidean geometry and two Einstein-Minkowski geometries and show that the problem of polynomial summation over the unit circle in each geometry is intricately connected, which is a phenomenon of chromogeometry. WebThe pdf file above is where I first encountered Chromogeometry which uses the identity below: _____ _ (red geometry)^2 + (green geometry)^2 = (blue geometry)^2 (x^2-y^2)^2 + (2xy)^2 = (x^2+y^2)^2 _____ _ A triangle has coordinates u(2,6), v(6,9), w(14,1). Q is the quadrance = the length of a line squared. b is blue geometry = Euclidean geometry ... Chromogeometry is a new three-fold symmetry in planar geometry, that brings together the usual Euclidean geometry (here called `blue') with two relativistic geometries (called `red' and `green').... tshirt back white