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OverviewHigh Quality Content by WIKIPEDIA articles! The Slothouber-Graatsma puzzle is a packing problem that calls for packing six 1 x 2 x 2 blocks and three 1 x 1 x 1 blocks into a 3 x 3 x 3 box. The solution to this puzzle is unique (up to mirror reflections and rotations). The puzzle is essentially the same if the three 1 x 1 x 1 blocks are left out, so that the task is to pack six 1 x 2 x 2 blocks into a cubic box with volume 27. The Slothouber-Graatsma puzzle is regarded as the smallest nontrivial 3D packing problem. The solution of the Slothouber-Graatsma puzzle is straightforward when one realizes that the three 1 x 1 x 1 blocks (or the three holes) need to be placed along a body diagonal of the box, as each of the 3 x 3 layers in the various directions needs to contain such a unit block. This follows because the larger blocks can only fill an even number of the 9 cells in each 3 x 3 layer. Full Product DetailsAuthor: Lambert M. Surhone , Mariam T. Tennoe , Susan F. HenssonowPublisher: VDM Publishing House Imprint: VDM Publishing House Dimensions: Width: 22.90cm , Height: 0.40cm , Length: 15.20cm Weight: 0.125kg ISBN: 9786131258206ISBN 10: 6131258201 Pages: 76 Publication Date: 15 August 2010 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |