discipline

MSC in Mathematics, Pure Mathematics, Elective Course

subject

Discrete Geometry 1

lecturers

Dr. Károly Bezdek (professor),

Dr. Károly Böröczky (professor),

Dr. Károly Böröczki Jr. (associate professor),

Dr. Gábor Kertész (assistant professor).

credits

2

period

3rd semester

curriculum

 Tilings on the sphere, and on the Euclidean and hyperbolic plane, Density of arrangements of congruent convex domains in the plane, the problem of defining density of hyperbolic arrangements. Delone (r-R) point sytems, Dirichlet cell decomposition, Delone cell decomposition, Circle packings and coverings on surfaces of constant curvature (the triangle bound of László Fejes Tóth). Dowker theorems. Economic packings and coverings by congruent convex domains in the Euclidean plane, the hexagon bound of László Fejes Tóth.

literature

L. Fejes-Tóth: Regular Figures, Pergamon Press, 1964.

form of tuition

Two hours of lecture per week.

mode of assessment

oral exam