00000ctm a22000004i 4500 UP-99796217613182447 Buklod 20191115115256.0 m |o d | ta 191115s2013 xx d r |||| u| (iLib)UPD-00418666042 DARCHIVES rda eng DMLUC LG 995 2013 M38 A75 Arias, Jeanine Concepcion H. author. Coincidences of certain multilattices derived from the square and hexagonal lattices Jeanine Concepcion H. Arias ; Manuel Joseph C. Loquias, adviser. Quezon City Institute of Mathematics, College of Science, University of the Philippines Diliman 2013. vii, 49 leaves illustrations 28 cm. text rdacontent unmediated rdamedia volume rdacarrier Thesis (M.S. Mathematics)--University of the Philippines Diliman October 2013. Available to the general public. The intersection of a lattice with its image under a linear isometry is called a coincidence site lattice (CSL) if the resulting intersection is a sublattice with finite index. Recently, the concept of CSL was extended to include multilattices, which are discrete sets of points formed by the union of a lattice with finitely many of its shifted copies.This thesis aims to solve the coincidences of two types of multilattices derived from the square and hexagonal lattices. Lattice theory. Loquias, Manuel Joseph C. adviser. FI UPD DARCHIVES LG 995 2013 M38 A75 Thesis