Abstract
Recently there is a rise in the study of two-dimensional packing problems. In such problems the input items are rectangles which need to be assigned into unit squares. However, most of the previous work concentrated on fixed items. Fixed items have a fixed direction and must be assigned so that their bottom is parallel to the bottom of the bin. In this paper we study two-dimensional bin packing of rotatable items. Those are rectangles which can be rotated by ninety degrees. We give almost tight bounds for bounded space bin packing of rotatable items, and introduce a new unbounded space algorithm. This improves the results of Fujita and Hada.
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