9 citations · 23 across the 5 of their papers we have counts for
8 papers
A note on Kuperberg's quadrilateral conjecture
Viktor Vígh
Kuperberg conjectured in 1983 that every convex body in the plane is contained in a quadrilateral of area at most , the extremal bodies being the affine-…
A second eight-faced polyhedron in which every two faces share an edge
Gergely Röst, Viktor Vígh
We report a novel polyhedral surface of genus~3 embedded in with eight planar, simple, non-convex nonagonal faces, 24 vertices and 36 edges, in which every two faces…
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…
On the multiplicity of arrangements of congruent zones on the sphere
A. Bezdek, F. Fodor, V. Vígh +1
Consider an arrangement of congruent zones on the -dimensional unit sphere , where a zone is the intersection of an origin symmetric Euclidean plank with .…
The packing density of the -dimensional cross-polytope
G. Fejes Tóth, F. Fodor, V. Vígh
The packing density of the regular cross-polytope in Euclidean -space is unknown except in dimensions and where it is 1. The only non-trivial upper bound is due to Grave…
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…