Counting the Number of Distinct Dissections of a Regular N-Gon
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| Language: | English |
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University of Akron / OhioLINK
2014
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| Online Access: | http://rave.ohiolink.edu/etdc/view?acc_num=akron1396794759 |
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ndltd-OhioLink-oai-etd.ohiolink.edu-akron13967947592021-08-03T06:23:19Z Counting the Number of Distinct Dissections of a Regular N-Gon Siegel, Aron Curtis Mathematics Catalan Number Let n,k, and p be natural numbers, n=(p-2)k+2. The generalized Catalan numbers count the number of ways to dissect a polygon with n sides into k polygons with p sides. We define two dissections to be distinct if there is not a group action that can act on one dissection and transform it into the other dissection. We will use the Cauchy-Frobenius method to count the total number of distinct dissections of a regular n-gon. We will count the number of dissections and determine generating functions for the terms that arise in our count. 2014-06-09 English text University of Akron / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=akron1396794759 http://rave.ohiolink.edu/etdc/view?acc_num=akron1396794759 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws. |
| collection |
NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Mathematics Catalan Number |
| spellingShingle |
Mathematics Catalan Number Siegel, Aron Curtis Counting the Number of Distinct Dissections of a Regular N-Gon |
| author |
Siegel, Aron Curtis |
| author_facet |
Siegel, Aron Curtis |
| author_sort |
Siegel, Aron Curtis |
| title |
Counting the Number of Distinct Dissections of a Regular N-Gon |
| title_short |
Counting the Number of Distinct Dissections of a Regular N-Gon |
| title_full |
Counting the Number of Distinct Dissections of a Regular N-Gon |
| title_fullStr |
Counting the Number of Distinct Dissections of a Regular N-Gon |
| title_full_unstemmed |
Counting the Number of Distinct Dissections of a Regular N-Gon |
| title_sort |
counting the number of distinct dissections of a regular n-gon |
| publisher |
University of Akron / OhioLINK |
| publishDate |
2014 |
| url |
http://rave.ohiolink.edu/etdc/view?acc_num=akron1396794759 |
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AT siegelaroncurtis countingthenumberofdistinctdissectionsofaregularngon |
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