An Etymological Dictionary of the German Language/schrötig
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schrötig, in ein verschrötiger Baum, ‘a tree from which four posts can be made,’ early ModHG. only, is probably connected with OHG. viorscôȥȥi, ‘four-cornered’; comp. MidDu. vierscoot, ‘square-built, thick-set,’ earlier LG. vierschötig, ‘four-cornered’; comp. Schoß (3).