丢番图双正交单斜管道的一些新参数化
Some new parameterizations for the Diophantine bi-orthogonal monoclinic piped
摘要：
引入了双正交单斜丢番图平行六面体，讨论了双正交单斜丢番图平行六面体的s参数及其控制方程。指出了以往单斜管道的发现和参数化。然后对一类特殊的丢番图双正交单斜平行六面体给出了Q，Z中的两个参数化P[1/2，s_2，s_3，s_4]，si.其次，给出了Q，Z中的参数化P[s_1，s_2，s_3，s_4]，s_1，它覆盖了原始计算机搜索所找到的解的99.5%。几个渐近序列接近完美长方体列出，并提出了一些最后的意见。
英文摘要：
The bi-orthogonal monoclinic Diophantine parallelepiped is introduced, then the s-parameters and their governing equation for the bi-orthogonal monoclinic Diophantine parallelepiped are discussed. Previous discoveries and parameterizations of the monoclinic piped are noted. Then two parameterizations P[1/2,s_2,s_3,s_4], s_i in Q,Z are given for a specific type of Diophantine bi-orthogonal monoclinic parallelepiped. Next, a parameterization P[s_1,s_2,s_3,s_4], s_i in Q,Z is presented which covers 99.5% of solutions found by raw computer searches. Several asymptotic sequences approaching the perfect cuboid are listed, and some final comments made.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
