• Thumbnail for Descartes' theorem
    arranged into a single spiral pattern of tangent circles, called Coxeter's loxodromic sequence of tangent circles. It was first described, together with...
    51 KB (6,411 words) - 16:29, 2 May 2025
  • Thumbnail for Coxeter's loxodromic sequence of tangent circles
    Coxeter's loxodromic sequence of tangent circles is an infinite sequence of circles arranged so that any four consecutive circles in the sequence are...
    4 KB (409 words) - 06:11, 14 August 2024
  • Thumbnail for Harold Scott MacDonald Coxeter
    the Coxeter graph, Coxeter groups, Coxeter's loxodromic sequence of tangent circles, Coxeter–Dynkin diagrams, and the Todd–Coxeter algorithm. Coxeter was...
    16 KB (1,636 words) - 01:47, 23 April 2025
  • Thumbnail for List of circle topics
    all of whose sides are tangent to an incircle Bicentric quadrilateral – Convex, 4-sided shape with an incircle and a circumcircle Coxeter's loxodromic sequence...
    12 KB (2,408 words) - 20:44, 10 March 2025
  • Thumbnail for Kepler triangle
    Kepler triangle (category Types of triangles)
    larger of these two angles is also the angle formed by the centers of triples of consecutive circles in Coxeter's loxodromic sequence of tangent circles. Automedian...
    18 KB (2,047 words) - 22:57, 4 October 2024
  • Thumbnail for Doyle spiral
    Doyle spiral (category Circle packing)
    distinct arm counts, all nonzero. An example is Coxeter's loxodromic sequence of tangent circles, a Doyle spiral of type (2,3), with arm counts 1, 2, and 3,...
    21 KB (2,568 words) - 22:12, 10 May 2025