|
Circle Packing In A Circle
Circle packing in a circle is a two-dimensional packing problem with the objective of packing unit circles into the smallest possible larger circle. Table of solutions, 1 ≤ ''n'' ≤ 20 If more than one equivalent solution exists, all are shown. Special cases Only 26 optimal packings are thought to be rigid (with no circles able to "rattle"). Numbers in bold are prime: * Proven for ''n'' = 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 19 * Conjectured for ''n'' = 14, 15, 16, 17, 18, 22, 23, 27, 30, 31, 33, 37, 61, 91 Of these, solutions for ''n'' = 2, 3, 4, 7, 19, and 37 achieve a packing density greater than any smaller number > 1. (Higher density records all have rattles.) See also * Disk covering problem * Square packing in a circle References F. Fodor, ''The Densest Packing of 12 Congruent Circles in a Circle'', Beiträge zur Algebra und Geometrie, Contributions to Algebra and Geometry 41 (2000) ?, 401–409. F. Fodor, ''The Densest Packing of 13 Congruent Circles in a Circl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Packing Problem
Packing problems are a class of optimization problems in mathematics that involve attempting to pack objects together into containers. The goal is to either pack a single container as densely as possible or pack all objects using as few containers as possible. Many of these problems can be related to real-life packaging, storage and transportation issues. Each packing problem has a dual covering problem, which asks how many of the same objects are required to completely cover every region of the container, where objects are allowed to overlap. In a bin packing problem, you are given: * A ''container'', usually a two- or three-dimensional convex region, possibly of infinite size. Multiple containers may be given depending on the problem. * A set of ''objects'', some or all of which must be packed into one or more containers. The set may contain different objects with their sizes specified, or a single object of a fixed dimension that can be used repeatedly. Usually the packi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disk Pack13
Disk or disc may refer to: * Disk (mathematics), a geometric shape * Disk storage Music * Disc (band), an American experimental music band * ''Disk'' (album), a 1995 EP by Moby Other uses * Disk (functional analysis), a subset of a vector space * Disc (galaxy), a disc-shaped group of stars * ''Disc'' (magazine), a British music magazine * Disc harrow, a farm implement * DISC assessment, a group of psychometric tests * Death-inducing signaling complex * Defence Intelligence and Security Centre or Joint Intelligence Training Group, the headquarters of the Defence College of Intelligence and the British Army Intelligence Corps * Delaware Independent School Conference, a high-school sports conference * , a Turkish trade union centre * Domestic international sales corporation, a provision in U.S. tax law * Dundee International Sports Centre, a sports centre in Scotland * International Symposium on Distributed Computing, an academic conference * Intervertebral disc, a cartilage betwee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disk Pack18 10
Disk or disc may refer to: * Disk (mathematics), a geometric shape * Disk storage Music * Disc (band), an American experimental music band * ''Disk'' (album), a 1995 EP by Moby Other uses * Disk (functional analysis), a subset of a vector space * Disc (galaxy), a disc-shaped group of stars * ''Disc'' (magazine), a British music magazine * Disc harrow, a farm implement * DISC assessment, a group of psychometric tests * Death-inducing signaling complex * Defence Intelligence and Security Centre or Joint Intelligence Training Group, the headquarters of the Defence College of Intelligence and the British Army Intelligence Corps * Delaware Independent School Conference, a high-school sports conference * , a Turkish trade union centre * Domestic international sales corporation, a provision in U.S. tax law * Dundee International Sports Centre, a sports centre in Scotland * International Symposium on Distributed Computing, an academic conference * Intervertebral disc, a cartilage betwee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disk Pack18 9
Disk or disc may refer to: * Disk (mathematics), a geometric shape * Disk storage Music * Disc (band), an American experimental music band * ''Disk'' (album), a 1995 EP by Moby Other uses * Disk (functional analysis), a subset of a vector space * Disc (galaxy), a disc-shaped group of stars * ''Disc'' (magazine), a British music magazine * Disc harrow, a farm implement * DISC assessment, a group of psychometric tests * Death-inducing signaling complex * Defence Intelligence and Security Centre or Joint Intelligence Training Group, the headquarters of the Defence College of Intelligence and the British Army Intelligence Corps * Delaware Independent School Conference, a high-school sports conference * , a Turkish trade union centre * Domestic international sales corporation, a provision in U.S. tax law * Dundee International Sports Centre, a sports centre in Scotland * International Symposium on Distributed Computing, an academic conference * Intervertebral disc, a cartilage betwee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disk Pack18 5
Disk or disc may refer to: * Disk (mathematics), a geometric shape * Disk storage Music * Disc (band), an American experimental music band * ''Disk'' (album), a 1995 EP by Moby Other uses * Disk (functional analysis), a subset of a vector space * Disc (galaxy), a disc-shaped group of stars * ''Disc'' (magazine), a British music magazine * Disc harrow, a farm implement * DISC assessment, a group of psychometric tests * Death-inducing signaling complex * Defence Intelligence and Security Centre or Joint Intelligence Training Group, the headquarters of the Defence College of Intelligence and the British Army Intelligence Corps * Delaware Independent School Conference, a high-school sports conference * , a Turkish trade union centre * Domestic international sales corporation, a provision in U.S. tax law * Dundee International Sports Centre, a sports centre in Scotland * International Symposium on Distributed Computing, an academic conference * Intervertebral disc, a cartilage betwee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disk Pack18 4
Disk or disc may refer to: * Disk (mathematics), a geometric shape * Disk storage Music * Disc (band), an American experimental music band * ''Disk'' (album), a 1995 EP by Moby Other uses * Disk (functional analysis), a subset of a vector space * Disc (galaxy), a disc-shaped group of stars * ''Disc'' (magazine), a British music magazine * Disc harrow, a farm implement * DISC assessment, a group of psychometric tests * Death-inducing signaling complex * Defence Intelligence and Security Centre or Joint Intelligence Training Group, the headquarters of the Defence College of Intelligence and the British Army Intelligence Corps * Delaware Independent School Conference, a high-school sports conference * , a Turkish trade union centre * Domestic international sales corporation, a provision in U.S. tax law * Dundee International Sports Centre, a sports centre in Scotland * International Symposium on Distributed Computing, an academic conference * Intervertebral disc, a cartilage betwee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disk Pack18 8
Disk or disc may refer to: * Disk (mathematics), a geometric shape * Disk storage Music * Disc (band), an American experimental music band * ''Disk'' (album), a 1995 EP by Moby Other uses * Disk (functional analysis), a subset of a vector space * Disc (galaxy), a disc-shaped group of stars * ''Disc'' (magazine), a British music magazine * Disc harrow, a farm implement * DISC assessment, a group of psychometric tests * Death-inducing signaling complex * Defence Intelligence and Security Centre or Joint Intelligence Training Group, the headquarters of the Defence College of Intelligence and the British Army Intelligence Corps * Delaware Independent School Conference, a high-school sports conference * , a Turkish trade union centre * Domestic international sales corporation, a provision in U.S. tax law * Dundee International Sports Centre, a sports centre in Scotland * International Symposium on Distributed Computing, an academic conference * Intervertebral disc, a cartilage betwee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disk Pack18 3
Disk or disc may refer to: * Disk (mathematics), a geometric shape * Disk storage Music * Disc (band), an American experimental music band * ''Disk'' (album), a 1995 EP by Moby Other uses * Disk (functional analysis), a subset of a vector space * Disc (galaxy), a disc-shaped group of stars * ''Disc'' (magazine), a British music magazine * Disc harrow, a farm implement * DISC assessment, a group of psychometric tests * Death-inducing signaling complex * Defence Intelligence and Security Centre or Joint Intelligence Training Group, the headquarters of the Defence College of Intelligence and the British Army Intelligence Corps * Delaware Independent School Conference, a high-school sports conference * , a Turkish trade union centre * Domestic international sales corporation, a provision in U.S. tax law * Dundee International Sports Centre, a sports centre in Scotland * International Symposium on Distributed Computing, an academic conference * Intervertebral disc, a cartilage betwee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disk Pack18 2
Disk or disc may refer to: * Disk (mathematics), a geometric shape * Disk storage Music * Disc (band), an American experimental music band * ''Disk'' (album), a 1995 EP by Moby Other uses * Disk (functional analysis), a subset of a vector space * Disc (galaxy), a disc-shaped group of stars * ''Disc'' (magazine), a British music magazine * Disc harrow, a farm implement * DISC assessment, a group of psychometric tests * Death-inducing signaling complex * Defence Intelligence and Security Centre or Joint Intelligence Training Group, the headquarters of the Defence College of Intelligence and the British Army Intelligence Corps * Delaware Independent School Conference, a high-school sports conference * , a Turkish trade union centre * Domestic international sales corporation, a provision in U.S. tax law * Dundee International Sports Centre, a sports centre in Scotland * International Symposium on Distributed Computing, an academic conference * Intervertebral disc, a cartilage betwee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disk Pack18
Disk or disc may refer to: * Disk (mathematics), a geometric shape * Disk storage Music * Disc (band), an American experimental music band * ''Disk'' (album), a 1995 EP by Moby Other uses * Disk (functional analysis), a subset of a vector space * Disc (galaxy), a disc-shaped group of stars * ''Disc'' (magazine), a British music magazine * Disc harrow, a farm implement * DISC assessment, a group of psychometric tests * Death-inducing signaling complex * Defence Intelligence and Security Centre or Joint Intelligence Training Group, the headquarters of the Defence College of Intelligence and the British Army Intelligence Corps * Delaware Independent School Conference, a high-school sports conference * , a Turkish trade union centre * Domestic international sales corporation, a provision in U.S. tax law * Dundee International Sports Centre, a sports centre in Scotland * International Symposium on Distributed Computing, an academic conference * Intervertebral disc, a cartilage betwee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disk Pack17
Disk or disc may refer to: * Disk (mathematics), a geometric shape * Disk storage Music * Disc (band), an American experimental music band * ''Disk'' (album), a 1995 EP by Moby Other uses * Disk (functional analysis), a subset of a vector space * Disc (galaxy), a disc-shaped group of stars * ''Disc'' (magazine), a British music magazine * Disc harrow, a farm implement * DISC assessment, a group of psychometric tests * Death-inducing signaling complex * Defence Intelligence and Security Centre or Joint Intelligence Training Group, the headquarters of the Defence College of Intelligence and the British Army Intelligence Corps * Delaware Independent School Conference, a high-school sports conference * , a Turkish trade union centre * Domestic international sales corporation, a provision in U.S. tax law * Dundee International Sports Centre, a sports centre in Scotland * International Symposium on Distributed Computing, an academic conference * Intervertebral disc, a cartilage betwee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disk Pack16
Disk or disc may refer to: * Disk (mathematics), a geometric shape * Disk storage Music * Disc (band), an American experimental music band * ''Disk'' (album), a 1995 EP by Moby Other uses * Disk (functional analysis), a subset of a vector space * Disc (galaxy), a disc-shaped group of stars * ''Disc'' (magazine), a British music magazine * Disc harrow, a farm implement * DISC assessment, a group of psychometric tests * Death-inducing signaling complex * Defence Intelligence and Security Centre or Joint Intelligence Training Group, the headquarters of the Defence College of Intelligence and the British Army Intelligence Corps * Delaware Independent School Conference, a high-school sports conference * , a Turkish trade union centre * Domestic international sales corporation, a provision in U.S. tax law * Dundee International Sports Centre, a sports centre in Scotland * International Symposium on Distributed Computing, an academic conference * Intervertebral disc, a cartilage betwee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
