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DOI: 10.23671/VNC.2013.4.7343

Extremal values of the volume of 3-dimensional parallelepipeds with a given intrinsic diameter

Rasskazova N. V.
Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 4.
Abstract:
It  is proved that a parallelepiped with relation \(a:b:c=1:1:\sqrt{2}\) for its edge lengths has maximal volume among all rectangular parallelepipeds with a given intrinsic diameter.
Keywords: rectangular parallelepiped, geodesic (intrinsic) diameter, volume
Language: Russian Download the full text  
For citation: Rasskazova N. V. Extremal values of the volume of 3-dimensional parallelepipeds with a given intrinsic diameter. Vladikavkazskii matematicheskii  zhurnal [Vladikavkaz Math. J.], vol. 15, no. 4, pp. 44-47. DOI 10.23671/VNC.2013.4.7343


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