This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most ...

In this paper, we consider the problem of testing the equality of two multivariate distributions based on geometric graphs constructed using the interpoint distances between the observations. These ...

Geometric intersection graphs form an intriguing class of structures in which vertices represent geometric objects – such as line segments, discs, or curves – and an edge is established between two ...

Transactions of the American Mathematical Society, Vol. 367, No. 4 (APRIL 2015), pp. 2509-2526 (18 pages) In a previous paper, we applied Alexandrov geometry methods to study infinite semiplanar ...