Tarski's Plank Problem
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High Quality Content by WIKIPEDIA articles! In mathematics, Tarski's plank problem is a question about coverings of convex regions in n-dimensional Euclidean space by "planks": regions between two hyperplanes. Tarski asked if the sum of the widths of the planks must be at least the minimum width of the convex region. The question was answered affirmatively by Thøger Bang (1950, 1951).Alfred Tarski (January 14, 1901, Warsaw, Russian-ruled Poland October 26, 1983, Berkeley, California) was a Polish logician and mathematician. Educated at the University of Warsaw and a member of the Lwow-Warsaw ...
High Quality Content by WIKIPEDIA articles! In mathematics, Tarski's plank problem is a question about coverings of convex regions in n-dimensional Euclidean space by "planks": regions between two hyperplanes. Tarski asked if the sum of the widths of the planks must be at least the minimum width of the convex region. The question was answered affirmatively by Thøger Bang (1950, 1951).Alfred Tarski (January 14, 1901, Warsaw, Russian-ruled Poland October 26, 1983, Berkeley, California) was a Polish logician and mathematician. Educated at the University of Warsaw and a member of the Lwow-Warsaw School of Logic and the Warsaw School of Mathematics and philosophy, he emigrated to the USA in 1939, and taught and carried out research in mathematics at the University of California, Berkeley, from 1942 until his death.
