A convex cover for closed unit curves has area at least 0.1

Moser, 1966, Poorly formulated unsolved problems of combinatorial geometry, Mimeographed list Moser, 1991, Problems, problems, problems, Discrete Appl. Math., 31.02, 201, 10.1016/0166-218X(91)90071-4 Norwood, 2003, An improved upper bound for Leo Moser’s worm problem, Discrete Comput. Geom., 29.03, 409, 10.1007/s00454-002-0774-3 Marstrand, 1979, Packing smooth curves in Rq, Mathematika., 26.01, 1, 10.1112/S0025579300009542 Wetzel, 2005, The classical worm problem—A status report, Geombinatorics., 15, 34 Laidacker, 1986 Panraksa, 2020, Wetzel’s sector covers unit arcs, Period. Math. Hungar., 1 Khandhawit, 2013, Lower bound for convex hull area and universal cover problems, Internat. J. Comput. Geom. Appl., 23.03, 197, 10.1142/S0218195913500076 Brass, 2005, A lower bound for Lebesgue’s universal cover problem, Internat. J. Comput. Geom. Appl., 15.05, 537, 10.1142/S0218195905001828 Gibbs, 2018 Eggleston, 2007 Schaer, 1972, Boxes for curves of constant length, Israel J. Math., 12.03, 257, 10.1007/BF02790752 Füredi, 2011, Covers for closed curves of length two, Period. Math. Hungar., 63.01, 1, 10.1007/s10998-011-7001-z Wichiramala, 2018, A smaller cover for closed unit curves, Miskolc Math. Notes, 19.01, 691, 10.18514/MMN.2018.2485 Chakerian, 1971, Minimal covers for closed curves, Math. Mag., 46.02, 55 Fáry, 1950, Der zentralsymmetrische Kern und die zentralsymmetrische Hülle von konvexen Körpern, Math. Ann., 122.03, 205, 10.1007/BF01342966 Som-am, 2010 B. Grechuk, S. Som-am, A convex cover for closed unit curves has area at least 0.0975, Internat. J. Comput. Geom. Appl. To appear.