论文标题

没有完美的立方体

There is no Perfect Cuboid

论文作者

Lloyd, Ivor

论文摘要

当欧拉砖的边缘和脸对角线都是整数时,就会形成一个完美的立方体。众所周知,如果存在一个完美的立方体,则内对角线是奇怪的。找不到完美的立方体。这个简单的证明表明,欧拉砖的内部氨基调不能是一个奇怪的整数。

A perfect cuboid is formed when an Euler brick whose edges and face diagonals are all integers also has an integer internal diagonal. It is known that if a perfect cuboid exists the internal diagonal is odd. No perfect cuboid has been found. This simple proof shows that the internal diaogonal of an Euler brick cannot be an odd integer.

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