File:Set partitions 5; list; blocks in binary.svg

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Summary

Description

Ordering and enumeration of the 52 partitions of a 5-element set

With the colored fields interpreted as 1s and the other fields as 0s
the rows of the matrix on the right are in colexicographic order.
(Whether the light gray fields are interpreted as 1s or 0s doesn't matter.)

This list and enumeration can be continued for all partitions of finite sets of any size.


 
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Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Other versions List of the partitions of a 4-element set in the same order: File:Set partitions 4; lexicographical.svg

Related files

Ordered like Sloane'sA231428
Matrices of equivalence relations
Connected pentagon vertices
Genji chapter symbols
The 7 partitions of 5
(compare this table)

Compare: Partitions of a 4-element set


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Date/TimeThumbnailDimensionsUserComment
current15:27, 7 January 2012Thumbnail for version as of 15:27, 7 January 2012744 × 1,878 (996 KB)WatchduckOffset 0: http://oeis.org/wiki/User:Tilman_Piesk/Lists_with_offset_0
21:54, 28 December 2011Thumbnail for version as of 21:54, 28 December 2011744 × 1,878 (974 KB)Watchduck{{Information |Description=The 52 partitions of a 5-element set in (reverse) lexicographical order This list and enumeration can be continued for all partitions of finite sets of any

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