Singular sectors 𝒵 sing (loci of zeros) for real-valued non-positively defined partition
functions 𝒵 of n variables are studied. It is shown that 𝒵 sing have a stratified structure …

We discuss several extensions and applications of the theory of discretely conformally
equivalent triangle meshes (two meshes are considered conformally equivalent if …

We present a framework for designing shapes from diverse combinatorial patterns, where
the vertex 1-rings and the faces are as rotationally symmetric as possible, and define such …

In this article, we discuss the necessary and sufficient conditions for the existence of a
polygon whose side lengths form a geometric sequence. We prove that such a polygon …

Polyhedral surfaces of constant curvature and discrete uniformization Page 1 Polyhedral
surfaces of constant curvature and discrete uniformization vorgelegt von M.Sc. Hana …

Let J be a simple closed curve in R k (k≥ 2) that is differentiable with non-zero derivative at
a point A 0∈ J. For a tuple of positive reals a 1,⋯, an (n≥ 3), each of which is less than the …

We consider an interesting class of combinatorial symmetries of polytopes which we
call\emph {edge-length preserving combinatorial symmetries}. These symmetries not only …

This paper investigates the rigidity of bordered polyhedral surfaces. Using the variational
principle, we show that bordered polyhedral surfaces are determined by boundary value …

The idea of using the generalised inverse of a singular matrix A to solve the matrix equation
Ax= b has been discussed in the earlier papers [1, 2, 3, 4] in the Gazette. Here we discuss …

It is well known that Heron's equality provides an explicit formula for the area of a triangle, as
a symmetric function of the lengths of its edges. It has been extended by Brahmagupta to …