Existence of Cuboid with Integer Edges, Face Diagonals and Space Diagonal
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Open Question
It is not known whether there exists a cuboid:
- whose edges
- the diagonals of whose faces
- the space diagonal
are all integers.
Also see
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $44$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $44$