1 citations · 2 across the 5 of their papers we have counts for
5 papers
Strongly self-dual polytopes
Ákos G. Horváth, István Prok
This article aims to study the class of strongly self-dual polytopes (ssd-polytopes for short), defined in a paper by Lovász \cite{lovasz}. He described a series of such polytopes…
Surgeries of the Gieseking hyperbolic ideal simplex manifold
E. Molnár, I. Prok, J. Szirmai
In our Novi Sad conference paper (1999) we described Dehn type surgeries of the famous Gieseking (1912) hyperbolic ideal simplex manifold , leading to compact fundamen…
On the constructibility of the axes of an ellipsoid
Ákos G. Horváth, István Prok
In this paper we discuss Chasles's construction on ellipsoid to draw the semi-axes from a complete system of conjugate diameters. We prove that there is such situation when the con…
The football {5, 6, 6} and its geometries: from a sport tool to fullerens and further
Emil Molnár, István Prok, Jenő Szirmai
This presentation starts with the regular polygons, of course, then with the Platonic and Archimedean solids. The latter ones are whose symmetry groups are transitive on the vertic…
Equality in Laszlo Fejes Toth's triangle bound for hyperbolic surfaces
C. Barvard, K. J. Boroczky, B. Ormos +3
For k>6, we determine the minimal area of a compact hyperbolic surface, and an oriented compact hyperbolic surface that can be tiled by embedded regular triangles of angle 2π/k. Ba…