Abstract
In the 1930’s, Tarski introduced his plank problem at a time when the field Discrete Geometry was about to born. It is quite remarkable that Tarski’s question and its variants continue to generate interest in the geometric and analytic aspects of coverings by planks in the present time as well. The paper is of a survey type with some new results and with a list of open research problems on the discrete geometric side of the plank problem.
Partially supported by a Natural Sciences and Engineering Research Council of Canada Discovery Grant and by the Hung. Acad. Sci. Found. (OTKA), grant no. K72537. (This survey is partially based on the author’s talk delivered at the meeting “Intuitive Geometry, in Memoriam László Fejes Tóth”, June 30–July 4, 2008, Budapest, Hungary.)
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Bezdek, K. (2013). Tarski’s Plank Problem Revisited. In: Bárány, I., Böröczky, K.J., Tóth, G.F., Pach, J. (eds) Geometry — Intuitive, Discrete, and Convex. Bolyai Society Mathematical Studies, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41498-5_2
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