Minimal regular polygons serving as universal covers in R
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| Authors: | Don Chakerian Dave Logothetti |
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| Institution: | (1) Department of Mathematics, University of California, 95616 Davis, CA, USA;(2) Department of Mathematics, Santa Clara University, 95053 Santa Clara, CA, USA |
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| Abstract: | A universal cover is a set K with the property that each set of unit diameter is a subset of a congruent copy of K. It is shown that the smallest regular n-gon, for fixed n  4, which serves as an universal cover in R
2 is the smallest regular n-gon covering a Reuleaux triangle of unit width. |
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