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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
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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 ← Contents of issue |
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