𝔖 Bobbio Scriptorium
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Minimal regular polygons serving as universal covers inR2

✍ Scribed by Don Chakerian; Dave Logothetti


Book ID
104654102
Publisher
Springer
Year
1988
Tongue
English
Weight
440 KB
Volume
26
Category
Article
ISSN
0046-5755

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✦ Synopsis


A universal cover is a set Jd with the property that each set of unit diameter is a subset of a congruent copy of a'f. 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.