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math.MG2021
Monohedral Tilings of a Convex Disc with a Smooth Boundary
Kinga Nagy, Viktor Vigh
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 resu…
math.MG2018
Variance estimates for random disc-polygons in smooth convex discs
Ferenc Fodor, Viktor Vígh
In this paper we prove asymptotic upper bounds on the variance of the number of vertices and missed area of inscribed random disc-polygons in smooth convex discs whose boundary is…
math.MG2011★ 5 cited
How to sew in practice?
Ryan Trelford, Viktor Vigh
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 descri…