✦ LIBER ✦

The Apollonian Packing of Circles

✍ Scribed by Edward Kasner and Fred Supnick

Book ID: 123668943
Publisher: National Academy of Sciences
Year: 1943
Tongue: English
Weight: 271 KB
Volume: 29
Category: Article
ISSN: 0027-8424
DOI: 10.2307/87564

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📜 SIMILAR VOLUMES

✍ Hirst, K. E. 📂 Article 📅 1967 🏛 Oxford University Press 🌐 English ⚖ 250 KB

On the Exponent of the Apollonian Packin

On the Exponent of the Apollonian Packing of Circles

✍ Foster, D. M. E. 📂 Article 📅 1971 🏛 Oxford University Press 🌐 English ⚖ 144 KB

On integral Apollonian circle packings

✍ S. Northshield 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 198 KB

Integral Apollonian circle packings and

Integral Apollonian circle packings and prime curvatures

✍ Bourgain, J. 📂 Article 📅 2012 🏛 Springer-Verlag 🌐 English ⚖ 342 KB

Apollonian Circle Packings: Geometry and

Apollonian Circle Packings: Geometry and Group Theory III. Higher Dimensions

✍ Ronald L. Graham; Jeffrey C. Lagarias; Colin L. Mallows; Allan R. Wilks; Catheri 📂 Article 📅 2005 🏛 Springer 🌐 English ⚖ 427 KB

The spectral geometry of the apollonian

The spectral geometry of the apollonian packing

✍ Robert Brooks 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 456 KB

Now let E be a fixed constant, and let x be an arbitrary point in supp(T) lying in this copy of Pick. As in [3], it follows from bounded mean curvature that there is a uniform lower bound for the area of an &-ball in T about x. This &-ball may meet at most a fixed number of copies of pick. Hence we