Tarski's Plank Problem

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).

Read more about Tarski's Plank Problem:  Statement, Nomenclature

Famous quotes containing the words plank and/or problem:

    Colonel Shaw
    and his bell-cheeked Negro infantry
    on St. Gaudens shaking Civil War relief,
    propped by a plank splint against the garage’s earthquake.
    Robert Lowell (1917–1977)

    The problem of the novelist who wishes to write about a man’s encounter with God is how he shall make the experience—which is both natural and supernatural—understandable, and credible, to his reader. In any age this would be a problem, but in our own, it is a well- nigh insurmountable one. Today’s audience is one in which religious feeling has become, if not atrophied, at least vaporous and sentimental.
    Flannery O’Connor (1925–1964)