Geometric constructions for (q,k)-configurations
Presented by Dr. Leah Wrenn BERMAN
Type: Oral presentation
This talk will discuss a number of different infinite families of symmetric (q,k)-configurations that can be constructed using a few simple geometric lemmas; these constructions can be carried out entirely with ruler and compass, as long as a regular convex m-gon is provided to start with. In particular, a new class of symmetric, highly incident configurations will be discussed, which typically have chiral symmetry; this family includes the first known infinite class of symmetric 7-configurations, as well as new classes of 5- and 6-configurations.