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A Picturebook of Tetrahedral Packings.

dc.contributor.authorChen, Elizabeth R.en_US
dc.date.accessioned2010-06-03T15:39:59Z
dc.date.availableNO_RESTRICTIONen_US
dc.date.available2010-06-03T15:39:59Z
dc.date.issued2010en_US
dc.date.submitted2010en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/75860
dc.description.abstractWe 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.extent35173492 bytes
dc.format.extent45240833 bytes
dc.format.extent49330868 bytes
dc.format.extent1373 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypeapplication/pdf
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_USen_US
dc.subjectCrystallographyen_US
dc.subjectLatticeen_US
dc.subjectPackingen_US
dc.subjectTetrahedraen_US
dc.subjectRegular Soliden_US
dc.subjectHilbert Problemen_US
dc.titleA Picturebook of Tetrahedral Packings.en_US
dc.typeThesisen_US
dc.description.thesisdegreenamePhDen_US
dc.description.thesisdegreedisciplineMathematicsen_US
dc.description.thesisdegreegrantorUniversity of Michigan, Horace H. Rackham School of Graduate Studiesen_US
dc.contributor.committeememberLagarias, Jeffrey C.en_US
dc.contributor.committeememberBarvinok, Alexandre I.en_US
dc.contributor.committeememberKriz, Igoren_US
dc.contributor.committeememberPollack, Richarden_US
dc.contributor.committeememberSatyendra, Ramonen_US
dc.contributor.committeememberScott, G. Peteren_US
dc.subject.hlbtoplevelScienceen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/75860/1/bethchen_2.pdf
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/75860/2/bethchen_1.pdf
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/75860/3/bethchen_3.pdf
dc.owningcollnameDissertations and Theses (Ph.D. and Master's)


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