  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.
