Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.536564
Title: A lattice packing approach to an industrial cutting problem
Author: Sparks, Christopher
Awarding Body: The University of Birmingham
Current Institution: University of Birmingham
Date of Award: 1991
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Abstract:
The thesis considers the action of the WI, and W2 wallpaper groups on a shape which is homeomorphic to the unit disc. A WI group is said to be optimal for a given shape if its action on the shape produces a packing which is at least as dense as any other WI packing. It is proved that for a given shape there must exist an optimal WI group. A set of necessary and sufficient conditions for a WI group to be optimal, for a given shape, are derived. An optimal W2 packing is defined in analogous manner. It is shown that for a given shape an optimal W2 group must exist. A set of necessary and sufficient conditions for a W2 group to be optimal, for a given shape, are derived. The thesis ends with conclusions and a number of suggestions for further work.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.536564  DOI: Not available
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