Geodesic
On the Derived Cuboid of an Eulerian Triple
Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 509-510

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One of the interesting mathematical problems is whether the system of four Diophantine equations 1 2 has a solution in x, y, z, I, m, n, w. To this day the problem has not been shown to be impossible, nor has it been solved. 
Chein, E. Z. On the Derived Cuboid of an Eulerian Triple. Canadian mathematical bulletin, Tome 20 (1977) no. 4, pp. 509-510. doi: 10.4153/CMB-1977-076-8
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     author = {Chein, E. Z.},
     title = {On the {Derived} {Cuboid} of an {Eulerian} {Triple}},
     journal = {Canadian mathematical bulletin},
     pages = {509--510},
     year = {1977},
     volume = {20},
     number = {4},
     doi = {10.4153/CMB-1977-076-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-076-8/}
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