arXiv subjects

Viktor Vigh

Publications and source records attributed to Viktor Vigh.

2 recordsLinked to original sources

arXiv2021

Monohedral Tilings of a Convex Disc with a Smooth Boundary

In this paper we give a complete description about normal monohedral tilings of a convex disc with smooth boundary where we have at most three topological discs as tiles. This result is a far-reaching generalization of the results of Kurusa, Lángi and Vígh \cite{KLV2020}. Some further partial results are proved for non-normal tilings.

math.MG↗

arXiv2011

How to sew in practice?

In this note we prove a theorem concerning the sewing of even dimensional neighbourly polytopes. The theorem provides a fast algorithm for sewing in practice. We also give a description of the universal faces of a sewn $d$-polytope in terms of the main theorem.

math.MG↗