5 citations · 5 across the 2 of their papers we have counts for
4 papers
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…
Tiling a circular disc with congruent pieces
Árpád Kurusa, Zsolt Lángi, Viktor Vígh
In this note we prove that any monohedral tiling of the closed circular unit disc with topological discs as tiles has a -fold rotational symmetry. This result yields…
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…
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…