New directions for projective quadrangle geometry

Abstract: 

Recent algebraic developments in hyperbolic geometry, combined with dynamic geometry packages, have allowed new insights into metrical geometry more generally. In this talk we look at the geometry of quadrangles and their various centroids in hyperbolic geometry. Exploring was implemented through a specialized suite of GeoGebra software tools and, a general approach involving projective linear algebra. Which uncovered some exciting new structures.