A Picturebook of Tetrahedral Packings.
dc.contributor.author | Chen, Elizabeth R. | en_US |
dc.date.accessioned | 2010-06-03T15:39:59Z | |
dc.date.available | NO_RESTRICTION | en_US |
dc.date.available | 2010-06-03T15:39:59Z | |
dc.date.issued | 2010 | en_US |
dc.date.submitted | 2010 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/75860 | |
dc.description.abstract | We explore many different packings of regular tetrahedra, with various clusters & lattices & symmetry groups. We construct a dense packing of regular tetrahedra, with packing density D > .7786157. | en_US |
dc.format.extent | 35173492 bytes | |
dc.format.extent | 45240833 bytes | |
dc.format.extent | 49330868 bytes | |
dc.format.extent | 1373 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | en_US |
dc.subject | Crystallography | en_US |
dc.subject | Lattice | en_US |
dc.subject | Packing | en_US |
dc.subject | Tetrahedra | en_US |
dc.subject | Regular Solid | en_US |
dc.subject | Hilbert Problem | en_US |
dc.title | A Picturebook of Tetrahedral Packings. | en_US |
dc.type | Thesis | en_US |
dc.description.thesisdegreename | PhD | en_US |
dc.description.thesisdegreediscipline | Mathematics | en_US |
dc.description.thesisdegreegrantor | University of Michigan, Horace H. Rackham School of Graduate Studies | en_US |
dc.contributor.committeemember | Lagarias, Jeffrey C. | en_US |
dc.contributor.committeemember | Barvinok, Alexandre I. | en_US |
dc.contributor.committeemember | Kriz, Igor | en_US |
dc.contributor.committeemember | Pollack, Richard | en_US |
dc.contributor.committeemember | Satyendra, Ramon | en_US |
dc.contributor.committeemember | Scott, G. Peter | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/75860/1/bethchen_2.pdf | |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/75860/2/bethchen_1.pdf | |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/75860/3/bethchen_3.pdf | |
dc.owningcollname | Dissertations and Theses (Ph.D. and Master's) |
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