UNSOLVED PROBLEMS |

In Number Theory, Logic, and Cryptography |

4D Euler Brick |

An Euler Brick is just a cuboid, or a rectangular box, in which all of the edges (length, depth, and height) have integer dimensions; and in which the diagonals on all three sides are also integers.
So if the length, depth and height are a, b, and c respectively, then a, b, and c are integers, as are the quantities √(a The problem is to find a four dimensional Euler Brick, in which the four sides a, b, c, and d are integers, as are the six face diagonals √(a
For further information, please see: [1] http://www.christianboyer.com/eulerbricks/ [2] http://en.wikipedia.org/wiki/Euler_brick [3] http://f2.org/maths/peb.html
You can check for contributions to this problem on the solutions page.
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