File:8-points-no-pentagon.svg

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8-points-no-pentagon.svg(SVG file, nominally 360 × 360 pixels, file size: 956 B)

Description

A set of eight points in general position with no convex pentagon. According to a generalization of the Happy Ending problem, every nine points in general position have some five points forming a convex pentagon; this example shows that the number of points in this result cannot be reduced.

Date

2006-10-07 (original upload date)

Source

Originally from en.wikipedia; description page is/was here.

Author

Original uploader was David Eppstein at en.wikipedia

Permission
(Reusing this image)

Released into the public domain (by the author).

[edit] Licensing

PD-icon.svg This image has been (or is hereby) released into the public domain by its author, David Eppstein at the wikipedia project. This applies worldwide.

In case this is not legally possible:
David Eppstein grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.


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[edit] Original upload log

(All user names refer to en.wikipedia)

  • 2006-10-07 19:10 David Eppstein 360×360×8 (2817 bytes) A set of eight points in general position with no convex pentagon. According to a generalization of the [[Happy Ending problem]], every nine points in general position have some five points forming a convex pentagon; this example shows that the number of

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current06:32, 24 August 2007Thumbnail for version as of 06:32, 24 August 2007360×360 (956 B)David Eppstein (talk | contribs) ({{Information |Description=A set of eight points in general position with no convex pentagon. According to a generalization of the Happy Ending problem, every nine points in general position have some five points forming a con)

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