Non-Unit Free Triangle Orders |
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| Authors: | Barry A Balof Kenneth P Bogart |
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| Institution: | (1) Department of Mathematics and Computer Science, Whitman College, Walla Walla, WA, USA;(2) Department of Mathematics, Dartmouth College, Hanover, NH 03755, USA |
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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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| Keywords: | geometric representation free triangle order unit vs proper |
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