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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
Identifiers
URN: urn:nbn:se:kth:diva-127517OAI: oai:DiVA.org:kth-127517DiVA: diva2:644431
Note

QC 20130830

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

Open Access in DiVA

pentagon.pdf(381 kB)322 downloads
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File name FULLTEXT01.pdfFile size 381 kBChecksum SHA-512
c90f691ec1a21393b82e2cbe14c210be3cb99d8a4dfc16d7e7b687fd82808459bd6877de6d12765bfdc425b0ff71b745e02ab8959c32b7af050b4669fa4b1782
Type fulltextMimetype application/pdf

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Philip, Johan
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
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