Results 61 to 70 of about 10,443 (222)
Apollonian circle packings: number theory
Journal of Number Theory, 2003 Apollonian circle packings arise by repeatedly filling the interstices between mutually tangent circles with further tangent circles. It is possible for every circle in such a packing to have integer radius of curvature, and we call such a packing an {\em integral Apollonian circle packing.} This paper studies number-theoretic properties of the set of ...
Graham, Ronald L. +4 more
openaire +2 more sources
Dionysian Africa as an Antithesis of the Apollonian West
Crossings, 2020 On his deathbed, the protagonist Harry in the story “The Snows of Kilimanjaro” examines his past life. He concludes that he lived an empty life and that none but he is to blame for it.
Shibly Azad
doaj +1 more source
Spectral Action Models of Gravity on Packed Swiss Cheese Cosmology [PDF]
, 2016 We present a model of (modified) gravity on spacetimes with fractal structure based on packing of spheres, which are (Euclidean) variants of the Packed Swiss Cheese Cosmology models. As the action functional for gravity we consider the spectral action of
Ball, Adam, Marcolli, Matilde
core +3 more sources
Apollonian and Dionysian Forces in William Golding’s Lord of the Flies
Koshi Pravah: Multidisciplinary Peer Reviewed Journal, 2022 The objective of this research is to study evil nature of men which is portrayed through the British school children in Golding’s Lord of the Flies. The study further examines how it is important to balance Dionysian and Apollonian drive in order to ...
Mandip Rai
semanticscholar +1 more source
Magnetic models on Apollonian networks [PDF]
Physical Review E, 2005 Thermodynamic and magnetic properties of Ising models defined on the triangular Apollonian network are investigated. This and other similar networks are inspired by the problem of covering an Euclidian domain with circles of maximal radii. Maps for the thermodynamic functions in two subsequent generations of the construction of the network are obtained
Andrade, Roberto F. S. +1 more
openaire +3 more sources
Purificación y sacrificio. El orfismo y su herencia dionisiaca-apolínea
Theoría Revista del Colegio de Filosofía, 2015 The quest for the divine in humankind led the orphics to gather around the form of Dionysus. However, this cult was reformed from an Apollonian point of view, which allowed believers to eliminate the bacchic rituals and the particular sanguinary ...
Eduardo Sebastián Lomelí Bravo
doaj +1 more source
Synchronous and Asynchronous Recursive Random Scale-Free Nets
, 2005 We investigate the differences between scale-free recursive nets constructed by a synchronous, deterministic updating rule (e.g., Apollonian nets), versus an asynchronous, random sequential updating rule (e.g., random Apollonian nets).
B. Chopard +4 more
core +1 more source
On the Maximum Apollonian Sets
New Trends in Mathematical Sciences, 2022 In this study, the Apollonian sets are analytically examined in the plane equipped with the maximum distance function. It is determined that the maximum Apollonian set is not a maximum circle, but the closed simple rectilinear figure.
S. Ekmekçi, D. Yildirim
semanticscholar +1 more source
Generalized Apollonian packings [PDF]
Communications in Mathematical Physics, 1990 The authors construct a packing of circles by considering the images of four given circles of special position and radius under the mappings of a subgroup of SL(2,\({\mathbb{C}})\) generated by two hyperbolic rotations, with corresponding angles \(2\pi\) /N. The results are considered in the context of porous media.
Bessis, Daniel, Demko, Stephen
openaire +2 more sources
PROVINCIALISING BERLIN IN MENSCHEN IM HOTEL
German Life and Letters, Volume 79, Issue 1, Page 57-74, January 2026.ABSTRACT In this article, I take the peculiar source of Vicki Baum's Menschen im Hotel (1929) in a Southern Moravian town as a starting point to reveal the ways in which the hierarchies between metropolis and province are negotiated and complicated by the novel.
Meindert Peters
wiley +1 more source