Results 261 to 270 of about 704,101 (306)
Some of the next articles are maybe not open access.
What Type of Apollonian Circle Packing Will Appear?
The American mathematical monthly, 2021An Apollonian circle packing is created by starting with three pairwise tangent circles, adding the two circles—or circle and line—tangent to the first three, then repeating the process forever by successively adding new circles and lines tangent to ...
Jan E. Holly
semanticscholar +1 more source
A bounded space algorithm for online circle packing
Information Processing Letters, 2016Flavio K Miyazawa, Rafael C S Schouery
exaly +2 more sources
Evolutionary computation solutions to the circle packing problem
Soft Computing, 2015Juan J Flores, Felix Calderon
exaly +2 more sources
Journal of Zhejiang University SCIENCE C, 2012
The problem of packing circles into a domain of prescribed topology is considered. The circles need not have equal radii. The Collins-Stephenson algorithm computes such a circle packing. This algorithm is parallelized in two different ways and its performance is reported for a triangular, planar domain test case.
Young Joon Ahn +2 more
openaire +1 more source
The problem of packing circles into a domain of prescribed topology is considered. The circles need not have equal radii. The Collins-Stephenson algorithm computes such a circle packing. This algorithm is parallelized in two different ways and its performance is reported for a triangular, planar domain test case.
Young Joon Ahn +2 more
openaire +1 more source
Enumeration of paths in a hexagonal circle packing
Discrete MathematicsWe investigate paths in the hexagonal circle packing and enumerate them with respect to width, height, number of steps, area, and kissing number. Functional equations and the kernel method yield closed bivariate generating functions together with ...
Jean-Luc Baril, J. A. rez
semanticscholar +1 more source
Recursive circle packing problems
International Transactions in Operational Research, 2016AbstractThis paper presents a class of packing problems where circles may be placed either inside or outside other circles, the whole set being packed in a rectangle. This corresponds to a practical problem of packing tubes in a container. Before being inserted in the container, tubes may be put inside other tubes in a recursive fashion.
João Pedro Pedroso +2 more
semanticscholar +3 more sources
Earthquakes and circle packings
Journal d'Analyse Mathématique, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Circle packing with generalized branching [PDF]
The Journal of Analysis, 2016 Attempts to build a discrete theory for rational maps on the sphere via circle packing have foundered on discretization effects in locating branch points. The authors remove this impediment by introducing generalized branch points. A generalized branch point need no longer be attached to an individual circle, but with the help of chaperones and other ...
James Ashe +2 more
semanticscholar +5 more sources
Proceedings of the London Mathematical Society, 1987
It is proved that if E is a subset of the plane of Lebesgue measure zero, then for almost all x in the plane, every circle centre at x intersects E in a set of zero linear measure. As a special case, it follows at once that if \(r(x)>0\) is defined for each x in the plane, then the union of all the circles C(x,r(x)) cannot be of Lebesgue measure zero.
openaire +1 more source
It is proved that if E is a subset of the plane of Lebesgue measure zero, then for almost all x in the plane, every circle centre at x intersects E in a set of zero linear measure. As a special case, it follows at once that if \(r(x)>0\) is defined for each x in the plane, then the union of all the circles C(x,r(x)) cannot be of Lebesgue measure zero.
openaire +1 more source
Planar Maps, Random Walks and Circle Packing
Lecture notes in mathematics, 2018These are lecture notes of the 48th Saint-Flour summer school, July 2018, on the topic of planar maps, random walks and the circle packing theorem.
Asaf Nachmias
semanticscholar +1 more source