File:2-d dense packing r4.svg

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English: A compact packing of the plane with non-overlapping binary discs (two sizes of circles) with a radius ratio of 0.4142135624. The packing fraction (area density) is 0.920151. This has a wallpaper group p4m. It has been shown that this structure achieves the densest possible packing at this ratio (possibly degenerately) (cited in Kennedy [1]).
Date
Source Own work, following Tom Kennedy [2].
Author Toby Hudson
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31 May 2010

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078a706d7acf9a1b50094cab28cc519e0b443acf

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Date/TimeThumbnailDimensionsUserComment
current07:20, 10 October 2013Thumbnail for version as of 07:20, 10 October 20131,000 × 1,000 (558 bytes)SarangCompared to version as of 23:53, 31 May 2010 the black circles are not anymore overlapping. They are now better centered between the large circles.
06:44, 10 October 2013Thumbnail for version as of 06:44, 10 October 20131,000 × 1,000 (52 KB)99of9Reverted to version as of 23:53, 31 May 2010 the black circles on the small version were slightly overlapping, not good enough sorry
06:25, 10 October 2013Thumbnail for version as of 06:25, 10 October 20131,000 × 1,000 (558 bytes)Sarangdisgarbaged and simplified
23:53, 31 May 2010Thumbnail for version as of 23:53, 31 May 20101,000 × 1,000 (52 KB)99of9== Summary == {{Information |Description={{en|1=A compact packing of the plane with non-overlapping binary discs (two sizes of circles) with a radius ratio of 0.4142135624.}} |Source={{own}}, following Tom Kennedy [http://arxiv.org/abs/math/0407145v2]. |A
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