UNSOLVED PROBLEMS |

In Number Theory, Logic, and Cryptography |

Perfect Cuboid |

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 perfect cuboid, which is an Euler Brick in which the space diagonal, that is, the distance from any corner to its opposite corner, given by the formula √(a
For further information, please see: [1] http://www.christianboyer.com/eulerbricks/ [2] http://mathworld.wolfram.com/EulerBrick.html [3] http://f2.org/maths/peb.html
You can check for contributions to this problem on the solutions page. ——————————–- This web site developed and maintained by Tim S Roberts Email: timro21@gmail.com |