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Allan R. Wilks
Researcher at AT&T Labs
Publications - 19
Citations - 1568
Allan R. Wilks is an academic researcher from AT&T Labs. The author has contributed to research in topics: Apollonian sphere packing & Quadratic form (statistics). The author has an hindex of 11, co-authored 19 publications receiving 1527 citations.
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Dynamic Graphics for Data Analysis
TL;DR: Several computing issues dealing with speed and ease of usesystem bandwidth, input and output devices, low-level algorithms, device independent graphics, and data analysis environments-are reviewed.
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Apollonian circle packings:number theory
TL;DR: In this paper, it is shown that the set of integer radii of curvatures that appear in an integral Apollonian circle packing has positive density, and in fact represents all sufficiently large integers not excluded by congruence conditions.
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Beyond the Descartes Circle Theorem
TL;DR: In this article, the Descartes Circle Theorem has been extended to include the notion of beyond the circle theorem, and the authors present a proof of the theorem's correctness.
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Apollonian Circle Packings: Geometry and Group Theory I. The Apollonian Group
TL;DR: It is observed that there exist Apollonian packings which have strong integrality properties, in which all circles in the packing have integer curvatures and rational centers such that (curvature) $\times$ (center) is an integer vector.