Results 11 to 20 of about 1,596 (215)
Physical Review E, 2023 There is a well-known relationship between the binary Pascal's triangle and Sierpinski triangle in which the latter obtained from the former by successive modulo 2 additions on one of its corners. Inspired by that, we define a binary Apollonian network and obtain two structures featuring a kind of dendritic growth.
Eduardo M. K. Souza +1 more
openaire +4 more sources
Apollonian Circle Packings: Geometry and Group Theory I. The Apollonian Group [PDF]
Discrete & Computational Geometry, 2005 42 pages, 11 figures. Extensively revised version on June 14, 2004. Revised Appendix B and a few changes on July, 2004.
Ronald L. Graham +4 more
openaire +5 more sources
Irreducible Apollonian Configurations and Packings [PDF]
Discrete & Computational Geometry, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Butler, Steve +3 more
openaire +5 more sources
Spatial Statistics of Apollonian Gaskets [PDF]
Experimental Mathematics, 2017 8 pages, 13 ...
Weiru Chen +4 more
openaire +3 more sources
High-dimensional Apollonian networks [PDF]
Journal of Physics A: Mathematical and General, 2006 We propose a simple algorithm which produces high dimensional Apollonian networks with both small-world and scale-free characteristics. We derive analytical expressions for the degree distribution, the clustering coefficient and the diameter of the networks, which are determined by their dimension.
Zhang, Zhongzhi +3 more
openaire +5 more sources
Links in orthoplicial Apollonian packings
European Journal of Combinatorics18 pages, 25 figures.
Ramírez Alfonsín, Jorge +1 more
openaire +3 more sources
Liquid Phase TEM of Diffusing Emulsion Droplets. [PDF]
SmallMotion of emulsion droplets was observed via in situ liquid phase transmission electron microscopy. Analysis revealed that the motion is self‐affine and influenced by multiple stochastic processes, as well as a fractal landscape created by the electron beam.
Vratsanos MA +4 more
europepmc +2 more sources
Apollonian packing in polydisperse emulsions [PDF]
Soft Matter, 2020 Random Apollonian packing of extremely polydisperse oil droplets created through coalescence-fragmentation in high internal-phase-ratio emulsions (HIPE).
Sylvie Kwok +3 more
openaire +3 more sources
Apollonian metric, uniformity and Gromov hyperbolicity [PDF]
, 2022 The main purpose of this paper is to investigate the properties of a mapping which is required to be roughly bilipschitz with respect to the Apollonian metric (roughly Apollonian bilipschitz) of its domain.
Zhou QS, Vuorinen M, Li YX
core +1 more source
« Écoutez mes chants d’universelle ivrognerie » : Alcools d’Apollinaire face au Dionysos nietzschéen
Carnets, 2021 While inebriation is not a new theme in poetry, as is evidenced from the Greek dithyramb to Rimbaud’s “Bateau ivre”, the objective of this article is to demonstrate that the sources of inspiration for Alcools are not only poetic, but also philosophical ...
Camille Rodic
doaj +1 more source