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Packing Three Cubes in D-Dimensional Space

Author

Listed:
  • 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)

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.

Suggested Citation

  • Zuzana Sedliačková & Peter Adamko, 2021. "Packing Three Cubes in D-Dimensional Space," Mathematics, MDPI, vol. 9(17), pages 1-9, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2046-:d:621529
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    References listed on IDEAS

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    1. Faltlhauser, Kurt, 1991. "Die Problematik einer Neufassung der Zinsbesteuerung," Wirtschaftsdienst – Zeitschrift für Wirtschaftspolitik (1949 - 2007), ZBW - Leibniz Information Centre for Economics, vol. 71(11), pages 560-566.
    2. Dominick Salvatore, 1991. "How to Solve the U.S.-Japan Trade Problem," Challenge, Taylor & Francis Journals, vol. 34(1), pages 40-46, January.
    3. Worswick,G. D. N., 1991. "Unemployment: A Problem of Policy," Cambridge Books, Cambridge University Press, number 9780521400343.
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    Keywords

    packing of cubes; extreme;

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