Circle packings from tilings of the plane. (English) Zbl 07827791
Reviewer: Jun Jason Luo (Shantou)
Found 40 Documents (Results 1–40)
On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections. (English) Zbl 1517.37055
Reviewer: Yongquan Zhang (Stony Brook)
Apollonian packings in seven and eight dimensions. (English) Zbl 1493.52020
Reviewer: Christian Richter (Jena)
What do Bloch electrons in a magnetic field have to do with Apollonian packing of circles? (English) Zbl 1519.81517
The dynamics of super-Apollonian continued fractions. (English) Zbl 1436.11011
Reviewer: Thomas B. Ward (Leeds)
Local-global principles in circle packings. (English) Zbl 1418.52008
Reviewer: Vladimir Mityushev (Kraków)
Apollonian ring packings. (English) Zbl 1406.52036
Butler, Steve (ed.) et al., Connections in discrete mathematics. A celebration of the work of Ron Graham. Cambridge: Cambridge University Press (ISBN 978-1-316-60788-6/pbk; 978-1-107-15398-1/hbk; 978-131-665029-5/ebook). 283-296 (2018).
Reviewer: Zsolt Lángi (Budapest)
MSC:
52C15
Higher dimensional Apollonian packings, revisited. (English) Zbl 1409.52021
Reviewer: Romanos Diogenes Malikiosis (Berlin)
The Apollonian structure of integer superharmonic matrices. (English) Zbl 1457.52018
Reviewer: Mohammed El Aïdi (Bogotá)
The sensual Apollonian circle packing. (English) Zbl 1354.52025
Reviewer: Vasyl Gorkaviy (Kharkov)
Orbital counting of curves on algebraic surfaces and sphere packings. (English) Zbl 1354.14064
Faber, Carel (ed.) et al., K3 surfaces and their moduli. Basel: Birkhäuser/Springer (ISBN 978-3-319-29958-7/hbk; 978-3-319-29959-4/ebook). Progress in Mathematics 315, 17-53 (2016).
Reviewer: Anton Shutov (Vladimir)
Radial density in Apollonian packings. (English) Zbl 1328.52009
MSC:
52C15
From Apollonian packings to homogeneous sets. (English) Zbl 1330.52027
Reviewer: Joonhyung Kim (Daejeon)
Some Diophantine applications of the theory of group expansion. (English) Zbl 1370.11082
Breuillard, Emmanuel (ed.) et al., Thin groups and superstrong approximation. Selected papers based on the presentations at the workshop held at MSRI, Berkeley, CA, USA, February 6–10, 2012. Cambridge: Cambridge University Press (ISBN 978-1-107-03685-7/hbk). Mathematical Sciences Research Institute Publications 61, 1-22 (2014).
Packing, covering and tiling in two-dimensional spaces. (English) Zbl 1307.52012
Reviewer: Anton Shutov (Vladimir)
Effective bisector estimate with application to Apollonian circle packings. (English) Zbl 1296.11088
Effective circle count for Apollonian packings and closed horospheres. (English) Zbl 1276.52019
Reviewer: Egon Schulte (Boston)
MSC:
52C26
Integral Apollonian circle packings and prime curvatures. (English) Zbl 1281.52011
J. Anal. Math. 118, No. 1, 221-249 (2012); corrigendum ibid. 120, 393 (2013).
Reviewer: Horst Martini (Chemnitz)
On representation of integers by binary quadratic forms. (English) Zbl 1294.11040
Reviewer: Valentin Blomer (Göttingen)
On a Diophantine equation that generates all integral Apollonian gaskets. (English) Zbl 1252.52015
Reviewer: Oleg Karpenkov (Graz)
Strong approximation in the Apollonian group. (English) Zbl 1259.11066
Reviewer: Jeffrey C. Lagarias (Ann Arbor)
A proof of the positive density conjecture for integer Apollonian circle packings. (English) Zbl 1228.11035
Reviewer: Ahmet Tekcan (Bursa)
Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds. With appendix by Hee Oh and Nimish Shah. (English) Zbl 1235.22015
Reviewer: Herbert Abels (Bielefeld)
The ring Lemma in three dimensions. (English) Zbl 1232.52014
Reviewer: A. E. Litvak (Edmonton)
Integral Apollonian packings. (English) Zbl 1260.52011
Fibonacci-like sequences of Apollonian circle packings. (English) Zbl 1262.52015
Reviewer: Egon Schulte (Boston)
Refections on the arbelos. (English) Zbl 1136.51010
Reviewer: Mowaffaq Hajja (Irbid)
Apollonian circle packings: Number theory. (English) Zbl 1026.11058
Reviewer: Agota H.Temesvári (Sopron)
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