caa a22 4500 469075465 CHVBK 20180323132934.0 cr unu---uuuuu 170328e19920201xx s 000 0 eng 10.1007/BF02187832 doi (NATIONALLICENCE)springer-10.1007/BF02187832 The Worm Problem of Leo Moser [Elektronische Daten] [Rick Norwood, George Poole, Michael Laidacker] One of Leo Moser's geometry problems is referred to as the Worm Problem [10]: "What is the (convex) region of smallest area which will accommodate (or cover) every planar arc of length 1?” For example, it is easy to show that the circular disk with diameter 1 will cover every planar arc of length 1. The area of the disk is approximately 0.78539. Here we show that a solution to the Worm Problem of Moser is a region with area less than 0.27524. Springer-Verlag New York Inc., 1992 Norwood Rick East Tennessee State University, 37614, Johnson City, TN, USA aut Poole George East Tennessee State University, 37614, Johnson City, TN, USA aut Laidacker Michael Lamar University, 77710, Beaumont, TX, USA aut Discrete & Computational Geometry Springer New York 7/2(1992-02-01), 153-162 0179-5376 7:2<153 1992 7 454 https://doi.org/10.1007/BF02187832 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02187832 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Norwood Rick East Tennessee State University, 37614, Johnson City, TN, USA aut NATIONALLICENCE 700 1- Poole George East Tennessee State University, 37614, Johnson City, TN, USA aut NATIONALLICENCE 700 1- Laidacker Michael Lamar University, 77710, Beaumont, TX, USA aut NATIONALLICENCE 773 0- Discrete & Computational Geometry Springer New York 7/2(1992-02-01), 153-162 0179-5376 7:2<153 1992 7 454 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer