Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 44, No. 2, pp. 323333 (2003) 

Corner cuts and their polytopesIrene MüllerDepartment of Mathematics, ETH Zürich, ETH Zentrum, CH8092 Zürich, Switzerland, email: irene@math.ethz.chAbstract: Corner cut polytopes (or staircase polytopes) were first defined by Shmuel Onn and Bernd Sturmfels in a computational commutative algebra context. They owe their name to the fact that their vertices are in onetoone correspondence with certain partitions of natural numbers, so called corner cuts. In this paper, we discuss some structural, nonetheless esthetic aspects of corner cut polytopes. In the 2dimensional case, we draw a connection between a natural linear order on the vertices and a classical partial order on partitions. Furthermore, we explore the relationship between corner cuts and the face structure of corner cut polytopes. Full text of the article:
Electronic version published on: 1 Aug 2003. This page was last modified: 4 May 2006.
© 2003 Heldermann Verlag
