Classifying simplicial dissections of convex polyhedra with symmetry
| dc.contributor.author | Mukthineni, Tarun, author | |
| dc.contributor.author | Betten, Anton, advisor | |
| dc.contributor.author | Peterson, Chris, committee member | |
| dc.contributor.author | Rajopadhye, Sanjay, committee member | |
| dc.date.accessioned | 2022-01-07T11:28:55Z | |
| dc.date.available | 2022-01-07T11:28:55Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | A convex polyhedron is the convex hull of a finite set ofpoints in R3. A triangulation of a convex polyhedron is a decomposition into a finite number of 3-simplices such that any two intersect in a common face or are disjoint. A simplicial dissection is a decomposition into a finite number of 3-simplices such that no two share an interior point. We present an algorithm to classify the simplicial dissections of a regular polyhedron under the symmetry group of the polyhedron. | |
| dc.format.medium | born digital | |
| dc.format.medium | masters theses | |
| dc.identifier | Mukthineni_colostate_0053N_16924.pdf | |
| dc.identifier.uri | https://hdl.handle.net/10217/234184 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation.ispartof | 2020- | |
| dc.rights | Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright. | |
| dc.subject | finite | |
| dc.subject | convex polyhedron | |
| dc.subject | 3-simplices | |
| dc.subject | algorithm | |
| dc.subject | symmetry group | |
| dc.subject | polyhedron | |
| dc.title | Classifying simplicial dissections of convex polyhedra with symmetry | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Colorado State University | |
| thesis.degree.level | Masters | |
| thesis.degree.name | Master of Science (M.S.) |