Examples
The smallest Euler brick, discovered by Paul Halcke in 1719, has edges and face diagonals 125, 244, and 267.
Some other small solutions, given as edges (a, b, c) — face diagonals (d, e, f), are below:
- (85, 132, 720) — (157, 725, 732);
- (88, 234, 480) — (250, 488, 534);
- (140, 480, 693) — (500, 707, 843);
- (160, 231, 792) — (281, 808, 825);
- (240, 252, 275) — (348, 365, 373).
Read more about this topic: Euler Brick
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—Alexander Pope (1688–1744)
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“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
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