Lexicographic Configurations

2012/11/08 by Christoph Hering, Hering, Christoph, Andreas Krebs +3
Mathematics · #05B15 #51E15 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05B15 #msc:51E15

paper · pdf · doi:10.48550/arxiv.1211.1899

15 pages, 2 figures

arxiv created 2012/11/08 · arxiv updated 2012/11/09

Abstract

We describe a new way to construct finite geometric objects. For every k we obtain a symmetric configuration E(k-1) with k points on a line. In particular, we have a constructive existence proof for such configurations. The method is very simple and purely geometric. It also produces interesting periodic matrices.

Related

• (22₄) and (26₄) configurations of lines
• Lexicographic Generation of Projective Spaces
• On a new (21₄) polycyclic configuration
• On a New (21₄) Polycyclic Configuration
• An Exploration of the Symmetry Groups of Certain Configurations of Points