Packing Three Cubes in D-Dimensional Space

Zuzana Sedliačková and Peter Adamko
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Zuzana Sedliačková: Department of Applied Mathematics, Faculty of Mechanical Engineering, University of Žilina, Univerzitná 1, 010 26 Žilina, Slovakia
Peter Adamko: Department of Quantitative Methods and Economics Informatics, Faculty of Operation and Economics of Transport and Communications, University of Žilina, Univerzitná 1, 010 26 Žilina, Slovakia

Mathematics, 2021, vol. 9, issue 17, 1-9

Abstract: Denote V n ( d ) the least number that every system of n cubes with total volume 1 in d -dimensional (Euclidean) space can be packed parallelly into some rectangular parallelepiped of volume V n ( d ) . New results V 3 ( 5 ) ? 1.802803792 , V 3 ( 7 ) ? 2.05909680 , V 3 ( 9 ) ? 2.21897778 , V 3 ( 10 ) ? 2.27220126 , V 3 ( 11 ) ? 2.31533581 , V 3 ( 12 ) ? 2.35315527 , V 3 ( 13 ) ? 2.38661963 can be found in the paper.

Keywords: packing of cubes; extreme (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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