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The area of a random triangle in a regular pentagon and the golden ratio
KTH, School of Engineering Sciences (SCI).
2012 (English)Report (Other academic)
Abstract [en]

We determine the distribution function for the area of a random triangle in a regular pentagon. It turns out that the golden ratio is intimately related to the pentagon calculations.

Place, publisher, year, edition, pages
2012. , 24 p.
Keyword [en]
Area random triangle pentagon Sylvester problem
National Category
Probability Theory and Statistics
URN: urn:nbn:se:kth:diva-127517OAI: diva2:644431

QC 20130830

Available from: 2013-08-30 Created: 2013-08-30 Last updated: 2013-08-30Bibliographically approved

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pentagon.pdf(381 kB)257 downloads
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Philip, Johan
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ReferencesLink to record
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