caa a22 4500 475740572 CHVBK 20180406123458.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1023/A:1026648330397 doi (NATIONALLICENCE)springer-10.1023/A:1026648330397 A Method of Deducing L -Polyhedra for n -Lattices [Elektronische Daten] [E. Baranovskii, P. Kononenko] We suggest a method for selecting an L-simplex in an L-polyhedron of an n-lattice in Euclidean space. By taking into account the specific form of the condition that a simplex in the lattice is an L-simplex and by considering a simplex selected from an L-polyhedron, we present a new method for describing all types of L-polyhedra in lattices of given dimension n. We apply the method to deduce all types of L-polyhedra in n-dimensional lattices for n=2,3,4, which are already known from previous results. Plenum Publishing Corporation, 2000 n -lattices nationallicence L -polyhedron nationallicence L -partition nationallicence S -algorithm nationallicence slice construction nationallicence Baranovskii E. Ivanovo State University, Russia aut Kononenko P. Ivanovo State University, Russia aut Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/5-6(2000-11-01), 704-712 0001-4346 68:5-6<704 2000 68 11006 https://doi.org/10.1023/A:1026648330397 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1026648330397 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Baranovskii E. Ivanovo State University, Russia aut NATIONALLICENCE 700 1- Kononenko P. Ivanovo State University, Russia aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/5-6(2000-11-01), 704-712 0001-4346 68:5-6<704 2000 68 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer