caa a22 4500 388091444 CHVBK 20180307125253.0 cr unu---uuuuu 161130e199902 xx s 000 0 eng 10.1017/S0004972700032706 doi S0004972700032706 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700032706 Circumradius-diameter and width-inradius relations for lattice constrained convex sets [Elektronische Daten] Let K be a planar, compact, convex set with circumradius R, diameter d, width w and inradius r, and containing no points of the integer lattice. We generalise inequalities concerning the ‘dual' quantities (2R − d) and (w − 2r) to rectangular lattices. We then use these results to obtain corresponding inequalities for a planar convex set with two interior lattice points. Finally, we conjecture corresponding results for sets containing one interior lattice point. Copyright © Australian Mathematical Society 1999 Awyong Poh Wah Division of Mathematics, National Institute of Education, 469 Bukit Timah Road, Singapore 259756 e-mail: awyongpw@nievax.nie.ac.sg Scott Paul R. Department of Pure Mathematics, The University of Adelaide, South Australia 5005 e-mail: pscott@maths.adelaide.edu.au Bulletin of the Australian Mathematical Society Cambridge University Press 59/1(1999-02), 147-152 0004-9727 59:1<147 1999 59 BAZ https://doi.org/10.1017/S0004972700032706 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700032706 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Awyong Poh Wah Division of Mathematics, National Institute of Education, 469 Bukit Timah Road, Singapore 259756 e-mail: awyongpw@nievax.nie.ac.sg NATIONALLICENCE 700 1- Scott Paul R. Department of Pure Mathematics, The University of Adelaide, South Australia 5005 e-mail: pscott@maths.adelaide.edu.au NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 59/1(1999-02), 147-152 0004-9727 59:1<147 1999 59 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge