Geometry is a classical core part of mathematics which, with its birth, marked the beginning
of the mathematical sciences. Thus, not surprisingly, geometry has played a key role in …

Packing problems, which ask how to arrange a collection of objects in space to meet certain
criteria, are important in a great many physical and biological systems, where geometrical …

Finding the minimum number of sensor nodes to ensure coverage of an area for a maximum
of time duration is an NP-difficult problem, especially in large areas. The mathematical …

The thematic program on “Discrete Geometry and Applications” took place at the Fields
Institute for Research in Mathematical Sciences in Toronto between July 1 and December …

Abstract 3D imaging techniques such as Micro-CT and MRI provide insights into the sample
inner structure, therefore attract increasing attention. It is common practice to conduct …

A subset of the d-dimensional Euclidean space having nonempty interior is called a spindle
convex body if it is the intersection of (finitely or infinitely many) congruent d-dimensional …

Abstract 2021 marks the 50th Anniversary of the publication by Ken Wade's “The structural
significance of the number of skeletal bonding electron-pairs in carboranes, the higher …

We present an algorithm to simulate random sequential adsorption (random “parking”) of
discs on constant curvature surfaces: the plane, sphere, hyperboloid, and projective plane …

How must n equal circles of given radius be placed so that they cover as great a part of the
area of the unit circle as possible? To analyse this mathematical problem, mechanical …

Stabilization of switched systems fully composed of unstable modes is of theoretical and
practical significance. In this paper, we obtain some sufficient algebraic conditions for …