Given a disk O in the plane called the objective, we want to find n small disks P1, . . . , Pn called the pupils such that n i,j=1 Pi Pj ⊇ O, where denotes the Minkowski diffe...
In this paper we study the problem of computing homothetic triangle contact representations of planar graphs. Since not all planar graphs admit such a representation, we concentra...
Melanie Badent, Carla Binucci, Emilio Di Giacomo, ...
The empty space around n disjoint line segments in the plane can be partitioned into n + 1 convex faces by extending the segments in some order. The dual graph of such a partition...
Nadia Benbernou, Erik D. Demaine, Martin L. Demain...
We establish upper and lower bounds on the number of connected components of lines tangent to four triangles in R3 . We show that four triangles in R3 may admit at least 88 tangent...
We study the problem of computing the set of all distant horizons of a terrain, represented as either: the set of all edges that appear in the set of all distant horizons; the con...
William S. Evans, Daniel Archambault, David G. Kir...