File:2-d dense packing r4.svg
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Description2-d dense packing r4.svg |
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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Previous version had been created with Inkscape (53157 bytes) d now 1.04% of previous size
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 07:20, 10 October 2013 | 1,000 × 1,000 (558 bytes) | Sarang (talk | contribs) | Compared 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 2013 | 1,000 × 1,000 (52 KB) | 99of9 (talk | contribs) | Reverted 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 2013 | 1,000 × 1,000 (558 bytes) | Sarang (talk | contribs) | disgarbaged and simplified | ||
23:53, 31 May 2010 | 1,000 × 1,000 (52 KB) | 99of9 (talk | contribs) | == 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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