Unusual Normal Tilings
problem for quadrangles, pentagons, or hexagons. The first part of this talk presents an overview of the recent results around this topic. The hexagon case leads to this question: in a normal tiling of the plane by convex hexagons and convex heptagons, how many heptagons can occur? We answer this question in the second part of the talk. Part 1 is joint work with Christian Richter, part 2 is joint work with Alexey Glazyrin and Zsolt Langi.
Dirk Frettlöh will be talking about ‘Unusual Normal Tilings’ on 15 November 2021 at 4pm. He is currently associated with the Universität Bielefeld, Germany. This seminar is being conducted by the Department of Mathematics at SBASSE LUMS.
Prof. Dirk Frettlöh will present a seminar on Unusual Normal Tilings. In this talk, he will overview the problem & the recent results of the weaker versions of the problem of tiling of the plane by pairwise incongruent triangles of equal area and equal perimeter, or the analogue of this problem for quadrangles, pentagons, or hexagons. He will also discuss the case in a normal tiling of the plane by convex hexagons and convex heptagons, how many heptagons can occur?
Please join via Zoom meeting link: https://zoom.us/j/97379855766
About the Speaker:
Prof. Dirk Frettlöh’s research interests are diverse, but essentially, they are covered by Discrete Mathematics, Algebra and Geometry. He is mainly interested in:
- Tilings, Convex Polytopes
- Symmetry Groups, Finitely Presented Groups
- Hyperbolic Geometry
- Graph Theory, Combinatorics
- Selfsimilarity, Fractals
- Model Sets, Diffraction
He is also interested in Recreational and Entertaining Mathematics.
Please see the seminar series link below for details,
https://sites.google.com/view/conway-spirited-math-seminars/home
