On the Derived Cuboid
Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 575-577
Voir la notice de l'article provenant de la source Cambridge University Press
We showed in [1] that the Eulerian family of cuboids with integral edges and face diagonals did not have integral inner diagonals. We now show that the derived family does not have integral inner diagonals except possibly when the generators are divisible by 705180. In this case there appears to be no inherent reason why the diagonals cannot be integral.
Spohn, W. G. On the Derived Cuboid. Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 575-577. doi: 10.4153/CMB-1974-102-6
@article{10_4153_CMB_1974_102_6,
author = {Spohn, W. G.},
title = {On the {Derived} {Cuboid}},
journal = {Canadian mathematical bulletin},
pages = {575--577},
year = {1974},
volume = {17},
number = {4},
doi = {10.4153/CMB-1974-102-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-102-6/}
}
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