File:8-points-no-pentagon.svg

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Summary

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 7 October 2006 (original upload date)
Source Transferred from en.wikipedia to Commons.
Author David Eppstein at English Wikipedia

Licensing

Public domain This work has been released into the public domain by its author, David Eppstein at English Wikipedia. This applies worldwide.
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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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The original description page was here. All following 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

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7 October 2006

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Date/TimeThumbnailDimensionsUserComment
current06:32, 24 August 2007Thumbnail for version as of 06:32, 24 August 2007360 × 360 (956 bytes)David Eppstein{{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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