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Sums of Interior Angles of n-Star Convex Polygons And Related Problems

Every (convex) star polygon with n vertices can be associated with a permutation on {1,2, . . . , n } . It is known that the sum of interior angles of the polygon is solely
determined by £». In this thesis, we give an exact formula to calculate the sum of
interior angles in term of £». We make use of this formula to derive a recurrence
relation concerning the number of star polygons having a particular value of sums
of interior angles.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0612101-154932
Date12 June 2001
CreatorsLi, Meng-Han
ContributorsNgai-Ching Wong, Tsai-Lien Wong, Wen-Fong Ke, Kwai-Man Fan
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0612101-154932
Rightsunrestricted, Copyright information available at source archive

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