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Non-Unit Free Triangle Orders

Authors
  • Balof, Barry A.1
  • Bogart, Kenneth P.2
  • 1 Whitman College, Department of Mathematics and Computer Science, Walla Walla, WA, USA , Walla Walla (United States)
  • 2 Dartmouth College, Department of Mathematics, Hanover, NH 03755, USA , Hanover (United States)
Type
Published Article
Journal
Order
Publisher
Springer Netherlands
Publication Date
Feb 01, 2006
Volume
23
Issue
1
Pages
21–35
Identifiers
DOI: 10.1007/s11083-006-9029-x
Source
Springer Nature
Keywords
License
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Abstract

A Free Triangle order is a partially ordered set in which every element can be represented by a triangle. All triangles lie between two parallel baselines, with each triangle intersecting each baseline in exactly one point. Two elements in the partially ordered set are incomparable if and only if their corresponding triangles intersect. A unit free triangle order is one with such a representation in which all triangles have the same area. In this paper, we present an example of a non-unit free triangle order.

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