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A Smaller Cover of the Moser’s Worm Problem


Paper Type 
Contributed Paper
Title 
A Smaller Cover of the Moser’s Worm Problem
Author 
Nattapol Ploymaklam and Wacharin Wichiramala
Email 
wacharin.w@chula.ac.th; nattapol.p@cmu.ac.th
Abstract:
The Moser’s worm problem asks for a smallest set on the plane that contains a congruent copy of every unit arc. Such smallest covering set has not been found yet. The smallest known cover constructed by Norwood and Poole in 2003 [6] has area 0.260437. In this work, we adapt their idea to construct a smaller cover of area 0.26007. We also simplify the proof that the set constructed this way contains a congruent copy of every unit arc.
Start & End Page 
2528 - 2533
Received Date 
2015-02-03
Revised Date 
Accepted Date 
2018-07-02
Full Text 
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Keyword 
covering unit arcs, worm problem
Volume 
Vol.45 No.6 (September 2018)
DOI 
Citation 
Ploymaklam N. and Wichiramala W., A Smaller Cover of the Moser’s Worm Problem, Chiang Mai J. Sci., 2018; 45(6): 2528-2533.
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