%0 Journal Article %T Deletion constructions of symmetric 4-configurations. Part I. %A Leah Wrenn Berman %A Branko Grščnbaum %J Contributions to Discrete Mathematics %D 2010 %I University of Calgary %X By deletion constructions we mean several methods of generation of new geometric configurations by the judicious deletion of certain points and lines, and introduction of other lines or points. A number of such procedures have recently been developed in a systematic way. We present here one family of such constructions, and will describe other families in the following parts. %U http://cdm.math.ucalgary.ca/cdm/index.php/cdm/article/view/170